Question

what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

Answer 1

If the volume V = 144 cubic inches, and V = length*width*height,

then 144 cubic inches = length*width*8 inches

and length*width = 144/8 square inches = 18 square inches.

Answer 2

W = 4.5 in

Explanation:

recall the volume of a rectangular prism is given by:

Volume = Length x Width x Height

or V = L x W x H (rearranging)

W = V / (L x H)

In our case, it is given that V = 138.24, H = 9.6 and L = 3.2

substitute these into the equation

W = 138.24 / (3.2 x 9.6)

W = 138.24 / 30.72

W = 4.5 (already rounded to nearest tenth)