Question

The length of a rectangular prism is 3 1/2 times as long as the width. The height is 1/4 of the width. The width is 3 cm. Determine the volume.

Answer 1

Volume of the rectangular prism will be
`23.625cm^3`

Explanation:

We have given that length of the prism
`length=3(1)/(2)width=(7)/(2)width`

Height
`=(1)/(4)width`

We have given width = 3 cm

So length =
`(7)/(2)* 3=(21)/(2)=10.5cm`

Height h =
`(1)/(4)* 3=(3)/(4)=0.75cm`

We know that volume of rectangular prism is given by

`V=length* width* height=10.5* 3* 0.75=23.625cm^3`