Answers
Answer:
1. The surface area of the cube is 324 square units
The volume of the cube 360 unit cube
2. The surface area of the cylinder is approximately 169.65 square units
The volume of the cylinder is approximately 169.65 unit cube
3. The surface area of a square pyramid is 360 square units
The volume of the square pyramid is 400 unit cube
4. The surface area of a cone is approximately 452.39 square units
The volume of the cone is approximately 50.27 unit cube
5. The surface area of the triangular prism is 240 square units
The volume of the triangular prism is 180 unit cube
6. The surface area of the sphere is approximately 804.25 square units
The volume of the sphere is approximately 2.144.66
7. The surface area of the composite figure is approximately 653.46 square units
The volume of the composite figure is approximately 1,474.45 unit cube
Step-by-step explanation:
1. The surface area of the figure, SA = 2 × (w·h + l·w + h·l)
Where;
w = The width of the figure = 6
l = The length of the figure = 12
h = The height of the figure = 5
We get;
SA = 2 × (6 × 5 + 12 × 6 + 5 × 12) = 324
The surface area of the figure, SA = 324
The volume of the figure, V = l × w × h
∴ V = 12 × 6 × 5 = 360
The volume of the figure, V = 360
2. The surface area of a cylinder, SA = 2·π·r² + 2·π·r·h
The radius of the given cylinder, r = 3
The height of the given cylinder, h = 6
∴ SA = 2×π×3² + 2×π×3×6 ≈ 169.65
The surface area of the cylinder, SA ≈ 169.65
The volume of a cylinder, V = π·r²·h
∴ V = π×3²×6 ≈ 169.65
The volume of the cylinder, V ≈ 169.65
3. The surface area of a square pyramid, SA = b² + 4·(1/2)·b·√((b/2)² + h²)
Therefore, for the given square pyramid, we have;
SA = 10² + 4×(1/2)×10×√((10/2)² + 12²) = 360
The surface area of a square pyramid, SA = 360
The volume of a square pyramid, V = (1/3) × Area of Base × Height
Therefore, or the given pyramid we have;
V = (1/3) × 10² × 12 = 400
The volume of the square pyramid, V = 400
4. The surface area of a cone, SA = π·r·(r + l)
Where;
The radius of the cone = r
The slant height of the cone, l = 10
The height of the cone, h = 6
∴ The radius of the cone, r = √(10² - 6²) = 8
∴ SA = π×8×(8 + 10) ≈ 452.39
The surface area of a cone, SA ≈ 452.39
The volume of the cone, V = (1/3) × π·r·h
∴ V = (1/3) × π × 8 × 6 ≈ 50.27
The volume of the cone, V ≈ 50.27
5. The surface area of the triangular prism, SA = 2 × (1/2)× b·h + b·w + h·w + w·l
Where;
b = The base length of the triangular surfaces = 5
h = The height of the triangular surfaces = 12
w = The width of the triangular prism = 6
l = The slant length of the prism = 13
Therefore;
SA = 2 × (1/2)× 5 × 12 + 5 × 6 + 12 × 6 + 6 × 13 = 240
The surface area of the triangular prism, SA = 240
The volume of a triangular prism, V = (1/2)·b·h·w
V = (1/2) × 5 × 12 × 6 = 180
The volume of the triangular prism, V = 180
6. The surface of a sphere, SA = 4·π·r²
Where;
r = The radius of the sphere = 8
∴ SA = 4 × π × 8² ≈ 804.25
The surface area of the sphere, SA ≈ 804.25
The volume of a sphere, V = (4/3)·π·r³
∴ V ≈ (4/3)×π×8³ ≈ 2,144.66
The volume of the given sphere, V ≈ 2.144.66
7. The figure is a composite figure made up of a cone and an hemispher
The surface area of the cone shaped part of the figure, SA = π·r·l
Where;
r = The radius of the cone = 8
l = The slant height of the cone = 10
∴ SA₁ = π × 8 × 10 ≈ 251.34
The surface area of the cone shaped part of the figure, SA₁ ≈ 251.34
The volume of the cone, V₁ = (1/3)·π·r²·h
Where;
h = The height of the cone = √(10² - 8²) = 6
∴ V₁ = (1/3) × π × 8² × 6 ≈ 402.12
The volume of the cone, V₁ ≈ 402.12
The surface area of the hemisphere, SA₂ = 2·π·r²
∴ SA₂ = 2 × π × 8² ≈ 402.12
The surface area of the hemisphere, SA₂ ≈ 402.12
The volume of a hemisphere, V₂ = (2/3)·π·r³
∴ V₂ = (2/3) × π × 8³ ≈ 1072.33
The volume of a hemisphere, V₂ ≈ 1,072.33
The surface area of the composite figure, SA = SA₁ + SA₂
∴ SA = 251.34 + 402.12 = 653.46
The surface area of the composite figure, SA ≈ 653.46
The volume of the composite figure, V = V₁ + V₂
∴ V = 402.12 + 1,072.33 = 1,474.45
The volume of the composite figure, V ≈ 1,474.45.
Related Questions
Kevin rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 94 cents for each mile driven, Kevin had to pay
$214.59 when he returned the truck. For how many miles did he drive the truck?
miles
?
PLS HELP
Answers
Answer:
Owner-operators may take in over $260,000 in gross revenue, but once you deduct expenses, maintenance and all of the costs that go along with running a truck, many don’t earn much more than experienced company drivers. It costs about $180,000 per year to run a commercial truck. Operating costs in the trucking industry are about $1.38 per mile.
Step-by-step explanation:
A rectangular yard has dimensions 10 meters by 8 meters. In the middle of the yard is a rectangular pond of 8 square meters, leaving a uniform walkway around the pond. Write a quadratic equation in standard form to find the width of the walkway.
Answers
hahahaha i had this same question in my grade
If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?
Answers
Answer:
0.164
Step-by-step explanation:
delta math said so but
n=7 ; r=5; p=1/2
q= 1- 1/2 = 1/2
7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164
can anyone help me with this?
Answers
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51
I nEd the answer pls
Answers
Answer:
C
Step-by-step explanation:
[tex]SA = 2(lw) + 2(lh) + 2(wh)[/tex]
Plz help me well mark brainliest if you are correct!!.....
Answers
Step-by-step explanation:
the base is 5unit and the height is 9unit
Answer:
The base is 5 units the height is 9 units
Step-by-step explanation:
Just count the blocks in the diagram
base = 5
Height = 9
Simplify (x2y)3.
x2y3
x5y3
x6y3
Answers
Answer:
3x2^y
Step-by-step explanation:
brainleist plss
A cone has a height of 20 centimeters and a radius of 18 centimeters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
6785.84
Step-by-step explanation:
Almost there! I can smell the victory
Answers
Answer:
165
Step-by-step explanation:
18 x 6 = 108
19 x 3 = 57
108 + 57 = 165
:)
Determine the equation of the quadratic function shown below.
Answers
The area formula also works with numbers that aren’t whole. A standardpiece of paper has a height of 8.5 inches and width of 11 inches. What is the area?
Answers
Answer:
it is 93.5
Step-by-step explanation:
ok im on
I would greatly appreciate if you could solve this 4 me. Thank you!
Answers
Answer:
B would be your Answer
Step-by-step explanation:
There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).
Hope this helped :)
A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be, to the nearest cent, after 15 years?
Answers
Answer:
1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?
Step-by-step explanation:
A 10 ft board is to be cut into three pieces, two equal- length ones and the third 9 in shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?
Answers
Answer:
Let x represent one of the equal length sides making the third side which is 3 inches shorter than each of the other two equal to:
Third piece = x − 3 . Knowing that the whole board is 10 feet, in inches it is:
10 feet × 12 inches / 1 foot = 120 inches
To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:
x + x + x − 3 = 120 + 3
3 x /3 = 123 /3
x = 41 inches
Third piece = x − 3 =
41 − 3
= 38 inches
Step-by-step explanation:
evaluate the expression when a = -15 and b = -5 b+14/a
Answers
Here is the third problem:)
Answers
Answer:
15.0
Step-by-step explanation:
we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan
tan25=7/x
since x is at the bottom then switch
x= 7/tan25
x= 15. 012
Answer:
x = 15.01
Step-by-step explanation:
Given degrees 25
Since x is between the right angle and 25, x is adjacent
7 being the other shortest side would be the opposite
Given adjacent and opposite, you can use tangent
Tangent = opposite/adjacent
Tan(25) = 7/x
0.4663076582 = 7/x
x = 7/0.4663076582 (use calculator)
Solution: x = 15.0115484421
sum difference place value of 2 in 4242
Answers
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
4242
2 = 200 ( 2 is in hundred's place )
4242
2 = 2 ( one's place )
Difference = ?
[tex] = 200 - 2 \\ = 198[/tex]
Sum = ?
[tex] = 200 + 2 \\ = 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:
1 on the first cube, 6 on the second cube
2 on the first cube, 5 on the second cube
3 on the first cube, 4 on the second cube
Which best explains if Corrine is correct?
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.
Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Answers
D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Step-by-step explanation:
To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:
1 on the first cube, 6 on the second cube
or
6 on the first cube, 1 on the second cube
2 on the first cube, 5 on the second cube
or
5 on the first cube, 2 on the second cube
3 on the first cube, 4 on the second cube
or
4 on the first cube, 3 on the second cube
Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Property of 10+5=5+10
Answers
Answer:
Commutative Property of Addition
Answer:
Commutative property
Step-by-step explanation:
The commutative property is when the order of the addends is changed, the sum stays the same.
Ex. 3+7 = 7+3
Both 3+7 and 7+3 = 10
Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you
Answers
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answers
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
1
1
1
4
2
4
2
2
3
9
343
4 16
4
1
B
D
y
ху
1 12
1 3
2
1
25
3 3/2
37
4
2
9
Which table shows y as DIRECTLY PROPORTIONAL tox?
0
A)
A
B)
B
D
D
D
Answers
Answer:
what are you trying to do or say
Solve for x. Round your answer to the nearest tenth
Answers
Answer:
Step-by-step explanation:
sin^1(17/19)
x= 63.475 round it how u want
PLZ HELP I WILL GIVE BRAINLIEST
Answers
Answer:
33 m^2
Step-by-step explanation:
Since the area of a kite can be found by h1*b1 + h2*b2, the area is
3 * 1 + 3 * 10 = 33 m^2
Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP
Answers
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
Answers
I think that the answer is A.
determine the perimeter of quadrilateral CGHI
Answers
Answer:
if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8
Step-by-step explanation:
just add them together
WILL
GIVE BRAINLIST ANSWER
...
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..
.
..
.
.
.
.
Answers
Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?
A. 70
B. 35
C. 10
D. 40
Answers
Answer: Hello! When I tried solving the problem and I got the answer of 70.
Step-by-step explanation:
So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.
What is the volume of the cylinder below?
Answers
Answer:
[tex]Volume=80\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
Perpendicular height of the base of cylinder h = 5 units
Slant height I = 6 units
Radius of the cylinder r = 4 units
Volume of the lateral cylinder is
[tex]V = \pi r^{2} h[/tex]-----------(1)
Where r is radius of the cylinder
And h is perpendicular height of the base of cylinder.
Now, we substitute r and h value in equation 1.
[tex]V=\pi[/tex] × [tex]4^{2}[/tex] × [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]16[/tex] x [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]80[/tex]
[tex]V=80\pi[/tex] [tex]units^{2}[/tex]
Therefore, the volume of the given cylinder is [tex]80\pi[/tex] [tex]units^2[/tex].