Question

The volume v of a rectangular prism is determined using the formula where l is the length w is the width and h is the height of the prism l. Carltren solves for w and writes the equivalent equation w=V/lh. Using this formula 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

Answer 1

138.24/(9.6*3.2)=138.24/30.72=4.5

Answer 2

width of the rectangular prism is 4.5 inches.

Explanation:

Carltren solves for w and writes the equivalent equation as
`w=(V)/(lh)`

Now, we have to find 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.

Thus, we have

V = 138.24 cubic inches

l = 3.2 inches

h = 9.6 inches.

Substituting these values in the above formula to find w

`w=(138.24)/(3.2\cdot9.6)`

On simplifying, we get

`w=4.5`

Thus, width of the rectangular prism is 4.5 inches.