a rectangular prisim measures 6m long and 3m wide. if the volume of the prisim is 162 m3 what is the hight of the prisim in meters? show your work

Answer:

1. 660.52

2. 572.56

3. 283.53

4.254.47

5. 63.62

6. 380.13

Step-by-step explanation:

do πr²

r = radius

if you have a diameter like question 4 divide by 2 and you get radius

Answer:

1. A = 660.52 square units. C = 91.11 units.

2. A = 572.56 square units. C = 84.82 units.

3. A = 283.53 square units. C = 59.69 units.

4. A = 254.47 square units. C = 56.55 units.

5. A = 63.62 square units. C = 28.27 units.

6. A = 380.13 square units. C = 69.12 units.

Step-by-step explanation:

The equations for Area and Circumference of a circle are as follows:

You are given the radius (or diameter) of each circle which can be substituted into the above equations for r. Diameter is the entire length across the circle through the center, which is equal to 2(r).

1. A = π(14.5)² = 660.5198. The area is approx. 660.52 square units.

C = 2π(14.5) = 91.106. The circumference is approx. 91.11 units.

2. A = π(13.5)² = 572.555. The area is approx. 572.56 square units.

C = 2π(13.5) = 84.823. The circumference is approx. 84.82 units.

3. A = π(9.5)² = 283.528. The area is approx. 283.53 square units.

C = 2π(9.5) = 59.690. The circumference is approx. 59.69 units.

4. Diameter = 18; 18/2 = 9 = r. So, A = π(9)² = 254.469. The area is approx. 254.47 square units.

C = 2π(9) = 56.548. The circumference is approx. 56.55 units.

5. r = 9/2 = 4.5. So, A = π(4.5)² = 63.617. The area is approx. 63.62 square units.

C = 2π(4.5) = 28.274. The circumference is approx. 28.27 units.

6. A = π(11)² = 380.132. The area is approx. 380.13 square units.

C = 2π(11) = 69.115. The circumference is approx. 69.12 units.

Answer: 3

Step-by-step explanation: Rearrange the numbers ascendingly - 2, 3, 3, 3, 5, 6, 7, 10

3 is in the middle, so 3 is the median.

Answer:

4

Step-by-step explanation:

put them in order: 2, 3, 3, 3, 5, 6, 7, 10

the two in the middle are 3 and 5. Between 3 and 5 is 4.

Answer:

mark me brainlist please

Answer:

101

Step-by-step explanation:

3^4 = 3 * 3 * 3 * 3 = 81

4 ⋅ 5 = 4 * 5 = 20

3^4 + 4 ⋅ 5

= 81 + 20

= 101

its rational - 5.78 = 5.787878.

D.

explanation:

We have been given a number 5.78. We are asked to choose the correct statement which shows that 5.78 is a rational number.

Upon looking at our given choices, we can see that only option A is the correct choice as it has repeating digits (78) after decimal.

We know that a number with repeating decimals can be written as a fraction, therefore, option D is the correct choice.

Answer:

hello

Step-by-step explanation:

its D

Answer:

  √689 ≈ 26.2 leagues

Step-by-step explanation:

For the purpose of calculating the distance between the marked points, the line is considered to be the hypotenuse of a right triangle. The horizontal distance between the points is one leg of the triangle, and the vertical distance is the other leg. The Pythagorean theorem relates these distances.

The Pythagorean theorem relates right triangle sides 'a' and 'b' to hypotenuse 'c' with the formula ...

  c² = a² +b²

Taking the square root, we have an expression for 'c' in terms of 'a' and 'b'.

  c = √(a² +b²)

The horizontal distance between the points is the difference of their x-coordinates:

  a = x2 -x1 = 2 -(-18) = 20

The vertical distance between the points is the difference of their y-coordinates:

  b = y2 -y1 = -10 -7 = -17

When we square these numbers, we find their signs to be irrelevant.

  c = √(a² +b²) = √(20² +(-17)²) = √(400 +289) = √689

  c ≈ 26.249

The distance between the given points is about 26.2 leagues.

Answer:

V = 4000 cm^3

Step-by-step explanation:

The volume of the sphere is given by

V = 4/3 pi r^3

We are given the radius of 10 and are to use 3 for pi

V = 4/3 (3) * (10)^3

V = 4/3 *3 * 1000

V = 4000 cm^3

Answer:

65.94 in³

Step-by-step explanation:

First, we need to determine to the shape, a party hat is a cone.

The volume formula that use to calculate the cone is 1/3hπr².

Notice: h is for height and r is for radius

Using this formula, we can easily set up the equation below:

1/3 · 7 · 3.14 · (6/2)²  = 65.94 (cubic inches)

You must halved the diameter first (in this case, 6) and then square it.

So: The answer of this question is 65.94 in³

Answer:

E commerce , E learning , Online games

Answer:

1092

Step-by-step explanation:

(12x34) x 2 + (12x3) x2 + (34x3) x2 = 408 x 2 + 36 x 2 + 102 x 2

=816 + 72 + 204

= 1092

(the numbers in brackets are the "net" areas)

Answer:

Step-by-step explanation:

Answer:

4 of each

Step-by-step explanation:

1.50 x 4 =6

.50 x 4 =2

he bought 4 folders and 4

Answer:

The answer would be 16

Step-by-step explanation:

4x4 =16

Hope this helps!

Answer:

Sixteen dollars

Step-by-step explanation:

you multiply four times four since that's the amount of granola you want times the cost that would be sixteen

Answer:

A rectangular prism has six faces, commonly referred to as the base, top and four sides. The base and top always have the same area as do pairs of opposite sides

Step-by-step explanation:

Answer:

the base and the top, along with the opposite sides

Step-by-step explanation:

A rectangular prism has six faces, commonly referred to as the base, top, and four sides. The base and top always have the same area as do pairs of opposite sides.

Answer:22x+2

Step-by-step explanation: and th x's and y's

Answer: 22x+2

Hope it helps!!!

Answer:

the answer is 0.5

Step-by-step explanation:

11/2=5.5

6-5.5=0.5

Answer: Heyaa! ~

Your Answer is... 4.5 or in exact form its, 9/2

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Hopefully this helps you! ^^

Answer:

1372 cubic ft.

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi 7^3[/tex]

[tex]V=\frac{4}{3} \pi 343[/tex]

[tex]V=457\frac{1}{3} \pi[/tex]

Since pi is 3 to find the approximate answer, do:
[tex]V=457\frac{1}{3} (3)[/tex]

[tex]V=1372[/tex]

Hence, the volume of the sphere is approximately 1372 cubic ft.

Answer:

V = 1,372 ft³

Step-by-step explanation:

You have been given the equation necessary for calculating the volume of a sphere:

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

In this formula, "V" represents the volume, "π" is the given value (3), and "r" is the radius. While you have not been given the radius, you have been given the diameter (14 ft). The radius is half of the diameter.

radius = diameter / 2

radius = 14 ft / 2

radius = 7 ft

Now, you can plug this value into the formula and simplify to find the volume.

 [tex]V = \frac{4}{3}\pi r^{3}[/tex]                                         <----- Volume formula

[tex]V = \frac{4}{3} * (3) *r^{3}[/tex]                               <----- Plug 3 in for "π"

[tex]V = \frac{4}{3} * (3) * 7^{3}[/tex]                                <----- Plug 7 in for "r"

[tex]V = \frac{4}{3} * (3) * (343)[/tex]                           <----- Solve 7³

[tex]V = 1,372 ft^{3}[/tex]                                   <----- Multiply all the terms together

Answer:

1. Left side = 3 inches, Bottom side = 4 inches, Right side = 2 inches, Top side = 5 inches

2.  A = 6 inches²

3.  A = 8 inches²

4.  A = 10 inches²

5.  A = 12 inches²

6.  A = 36 inches²

7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

8. A = 180 cm²

Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

A = 6 inches²

3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

A = 8 inches²

4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 2

A = 10 inches²

5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 3 x 4)

A = 2(1/2 12)

A = 2(6)

A = 12 inches²

6. Total surface area of the triangular prism:

Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

7. Label the dimensions of the prism:

Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

A = 180 cm²

[tex]\rightarrow \sf 2x(x-4)(x+6)[/tex]

[tex]\rightarrow \sf (2x^2-8x)(x+6)[/tex]

[tex]\rightarrow \sf 2x^3 + 12x^2 - 8x^2 -48x[/tex]

[tex]\rightarrow \sf 2x^3 + 4x^2 -48x[/tex]

As there are three terms, the above polynomial is a cubic trinomial.

Answer:

khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvbnbvnbvbnbvbnbvbn

Step-by-step explanation because khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvnbvnbvbnbvbnbvbn = mhgcmgfmgcvbnvmbnbmvmbvnbvmnbvmbv

Answer:

Let [tex]\pi[/tex] represent 3.14
SA = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
SA = 2[tex]\pi[/tex](5)^2 + 2[tex]\pi[/tex](5)(12)
SA = 2[tex]\pi[/tex](25) + 2[tex]\pi[/tex](60)
SA = 50[tex]\pi[/tex] + 120[tex]\pi[/tex]
SA = 50(3.14) + 120(3.14)
SA = 157 + 376.8
SA = 533.8inch^2

Therefore the surface area of the cylinder is 533.8 square inches.

Answer: Let  represent 3.14SA = 2r^2 + 2rhSA = 2(5)^2 + 2(5)(12)SA = 2(25) + 2(60)SA = 50 + 120SA = 50(3.14) + 120(3.14)SA = 157 + 376.8SA = 533.8inch^2

Answer:

444

Step-by-step explanation:

444 is answer. it is very easy. 444/6= 74