Question

A pentagonal pyramid has a volume of 1536 in3. What is the volume of the pentagonal pyramid if the measures are multiplied by ?

Answer 1

Answer:

The first question is incomplete.

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Question 2:

The volume of a cube is 512 cm³

512 cm³ = 8 cm x 8 cm x 8 cm or sides of 8 cm  

8 cm³ = 2 cm x 2 cm x 2 cm or sides of 2 cm  

So each side got multiplied  by:

$\frac{8}{2}=4$ times.

Option A is the answer.

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Question 3.

The scale factor can be derived by :

$k^{3} =\frac{3456}{54}$

$k^{3} =64$

$k=\sqrt[3]{64}$

k = 4

Hence, the sides of a rectangular prism increased by 4.

Option C is the answer.

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Question 4.

The original volume is given by = $5*4*3=60$ cubic feet

So, when the lengths are tripled, the overall volume is:

So, this can be shown as :

$(5*3)(4*3)(3*3)=1620$ cubic feet

Option A is the answer.

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Question 5.

The given radius and height are 2 units and 5 units respectively.

Also given, the radius and height of the cylinder are multiplied by 3, so new radius ad height becomes: 6 units and 15 units respectively.

Now, volume of cylinder is given as :

V =$\pi r^{2} h$

So, the answer will be = V =$\pi* 6^{2}* 15$

= 540π cubic units

Option A is the answer.

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Answer 2

1. A
2. C
3. C
4. B
5. D

Im not 100% sure but I tried my best :) good luck.