Volume of Prisms

Question 1

What do you notice about the new volume compared to the original volume?It stayed the same.✔ It doubled.It was halved.It more than doubled.

Revolt · Accepted Answer

B: It doubled.

Question 2

What do you notice about the volume?It stays the same.It is two times larger.It is three times larger.✔ It is four times larger.

Revolt · Accepted Answer

D: It is four times larger.

Question 3

What can be concluded about the cylinder’s volume when the height is halved?

Revolt · Accepted Answer

C: The volume is of the original.

Question 4

What can be concluded about the cylinder’s volume when the radius is halved?

Revolt · Accepted Answer

A: The volume is of the original.

Question 5

Which could you do to increase the volume? Check all that apply.

Revolt · Accepted Answer

A: Double the height.; B: Double the radius.; D: Double the radius but half the height.; E: Make the radius and height both 6 cm.

Question 6

Which cylinder has the greatest volume?

Revolt · Accepted Answer

C: a cylinder with a height of 6 cm and a radius of 12 cm

Question 7

Does doubling the height of a cylinder have the same effect on the volume of a cylinder as doubling the radius? Explain.

Revolt · Accepted Answer

No, doubling the height and doubling the radius do not have the same effect on the volume of a cylinder. Doubling the height doubles the volume because the height factor is linear in the formula (V = πr²h). However, doubling the radius quadruples the volume because the radius is squared in the formula (V = π(2r)²h = 4πr²h).

Volume of Prisms Answers

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