Question

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.

Answer 1

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.