20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.

Answers

Answer 1

Answer: [tex]518.4\ cm^3[/tex]

Step-by-step explanation:

Given

The volume of the small block is [tex]300\ cm^3[/tex]

The ratio of the surface area of small to large block is [tex]25:36[/tex]

Suppose the length of the small and large box is a and b

[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]


Related Questions

Need help with this question!!

Answers

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

(3 - 8a)(-1)
please help asap

Answers

Answer:

-3 + 8a

Step-by-step explanation:

multiply 3 by -1 as well as -8a by -1 and you'll get -3 + 8a

Work out the size of angle ACB

Answers

Step-by-step explanation:

AOB=2ACB

ACB=112/2=56

You have a group of 5 students who all measure the length of a salamander that is 17 cm long. The measurements are: 16.1 cm, 16. 2 cm, 16.1 cm, 16.2 cm, and 16.2 cm. These measurements are ______.

Answers

Answer: precise but not accurate

Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

According to the graph, what is the value of the constant in the equation below?
(0.5, 1) (2,4) (3,6) (5, 10)
A. 1
B. 2
C. 0.5
D. 5

Answers

Answer:

B.

Step-by-step explanation:

y = mx + b

y = 2x

the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq​

Answers

Answer:

The side length of the larger square is 32

Step-by-step explanation:

Its 32 because the side lengths for the small square are 8 because  8 by 8 is 64. Multiply 8 by 4 which is 32.

Answer:

The side length of the larger frame is 128 inches.

Step-by-step explanation:

64 × 4 = 256

256 ÷ 2 = 128

Find the side length x

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

7^2+24^x^2

49+576=x^2

625=x^2

[tex]\sqrt{625[/tex]=x

25=x

Write the equation of the line in fully simplified slope-intercept form.

Answers

y=-5x+6
...................

Please use system of linear equations by elimination OR substitution. I need the work as well please.

Answers

1) P= 64 cm, width = x, length = 14 + x

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

32y - 15y = 8x6.15 - 5*9.58

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

I’ve got l = 12 and w = 8

5) answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

⇒ tan 55 ° =   \frac{ab}{20}

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

ANSWER ASAP!!!!!!!!!

Answers

C. both axis’ are growing at the same rate with the same amount.

point (17,18) is located in quadrant​

Answers

Answer:

25

Step-by-step explanation:

add 7+ to the quadrant to 18+

Answer:

Step-by-step explanation:

x and y both positive.

so it lies in first quadrant.

which of the following polynomials is in standard form? (PICTURE)

Answers

Answer:

D) exponents are in decreasing order

Step-by-step explanation:

Calcule a área da região sombreada da figura abaixo.
120°
4 cm
B

Answers

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

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Computation:

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How can you boost your mental and emotional health at school A. Do not bother taking notes in class. B. Develop good note-taking and study habits. C. Avoid making new friends. D. Focus on extracurricular activities and clubs rather than class.

Answers

Answer B: Develop good note-taking and study habits.

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Answers

Answer:

5m a second

Step-by-step explanation:

Answer:

5 mps

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Birthstones of students in your class
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Answers

Quantitive since it can be counted

Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
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P (2,-5) is a point on its terminal side.​

Answers

Answer:

Step-by-step explanation:

product of slopes of perpendicular lines=-1

(t-5)/(3+4)×(2-3)/(-4-1)=-1

(t-5)/7×(-1/-5)=-1

(t-5)/35=-1

t-5=-1×35=-35

t=-35+5

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2.

slopes of parallel lines are equal.

(-2+3)/(t-4)=(-1-4)/(4+2)

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t-4=-6/5

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3.

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except cos and sec all are negative.

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48% as its simplest fraction

Answers

Answer:

12/25

Step-by-step explanation:

Percent means out of 100

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12/25

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Answers

Answer:

uhh, look it up

Step-by-step explanation:

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B. g(x) = (½x)²
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Answers

C is the correct answer

Answer:

g(x) = (2x)²

Step-by-step explanation:

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Answers

Answer:

Hi there user! I'll help you!

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Step-by-step explanation:

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12 + 28 + 35 + 21 = 96

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Answers

Answer:

A    4^15 * 5^10

Step-by-step explanation:

When moving to the other side of a fration the exponent changes sign

4^3 / 5^-2 = 4^3 * 5^2

When taking an exponent to anexponet, multiply the exponents

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Answer A

Help me now!! 16 points!!

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Answer:

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Step-by-step explanation:

Solve all the problems using exponent rules and the last one equals 632

PLEASE ANSWER THIS: look at the pic for question. Thanks!!!

Answers

Answer:

[tex]\text{D. }b^2-4ac>0[/tex]

Step-by-step explanation:

The equation [tex]b^2-4ac[/tex] represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

If the discriminant is positive, or greater than 0, the quadratic has two solutionsIf the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).If the discriminant is negative, or less than 0, the quadratic has zero solutions

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Matthew bought 45 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.83 oz for each muffin. How many muffins did Matthew make if he had 13.42 oz of flour left over?

Answers

He made about 16 muffins

Mrs. Jackson has only $127.50 to spend at a clothing store. He
wants to buy a shirt that costs $87, including tax, and some
bracelets that cost $4.50 each, including tax.
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Jackson could buy.
Equation: ________________________________________________
Solve the equation to determine the number of bracelets Mrs.
Jackson could buy.

Answers

Answer:

$4.50x = $127.50 - $87

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x = 9

Step-by-step explanation:

The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt

$4.50x = $127.50 - $87

4.50x = 40.50

divide bot side by 4.5

x = 9

A carpenter bought a piece of wood that was 6.85 meters long. Then she sawed 0.57 meters off the end. How long is the piece of wood now? meters. help plz​

Answers

Answer:

6.28meters

it is the aswer if wrong please tell me

help please with this question​

Answers

Answer: 70ft

Step-by-step explanation:

ht= (-3)^2 + 15(3) + 16

ht= 9 + 45 + 16

ht= 70

70 ft. Hope it helps!

The carnival began at 12:37 pm and ended at 4:31. How long was the carnival

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Answer: 3 hours and 54 minutes

Step-by-step explanation:

Can someone help me on this.

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Answer:

The answer would be d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^(-5) is equivalent to:

    1

----------

 3^5

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