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Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widths of the two prisms are the same. Which best describes the volume of the second prism?

Question 9 options:

The volume is times the volume of the first prism.


The volume is 2 times the volume of the first prism.


The volume is greater than the volume of the first prism.


The volume is the same as the volume of the first prism.

1 Answer

10 votes

The volume of the second prism is also ten times the volume of the first prism.

Let's assume that both prisms have:

width = 3 units

height = 4 units

Prism 1 length = 5 units

Prism 2 length = 50 units

Let's solve their respective volumes to compare...

Volume of prism 1 = length * width * height

= 5 * 3 * 4

= 60 units ^3

Volume of prism 2 = 50 * 3 * 4

= 600 units ^3

Prism 2/ prism 1 = 10

That means prism 2 is ten times the volume of prism 1.

User Pavel Lechev
by
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