Question

The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot​

Answer 1

Answer:

The width of the prisim is equal to 2.23 feet.

Step-by-step explanation:

let l is length and b is width.

Length, l = 4b

The volume of the prism is 160 ft³.

The height of the prism is 8 ft.

The formula for the volume of a prism is given by :

$V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft$

So, the width of the prisim is equal to 2.23 feet.