Question

What is the volume of the prism?

Enter your answer, as a mixed number in simplest form, in the box.


cm³

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.

Answer 1

40
`(5)/(8)`
`cm^(3)`

Explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6
`(1)/(2)` cm

width = 2
`(1)/(2)` cm

height = 2
`(1)/(2)` cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6
`(1)/(2)` cm x 2
`(1)/(2)` cm x 2
`(1)/(2)` cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

• 6
  `(1)/(2)` =
  `(13)/(2)`

• 2
  `(1)/(2)` =
  `(5)/(2)`

Volume =
`(13)/(2)` x
`(5)/(2)` x
`(5)/(2)`

When you multiply everything together you should get
`(325)/(8)`.

As a mixed number, that would be 40
`(5)/(8)`
`cm^(3)`.