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. Carltren solves for w and writes the equivalent equation w = .

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?

Respuesta :

Its width would be 4.5 inches wide

Answer:

width of the rectangular prism = 4.5 inches

Step-by-step explanation:

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.

he width, and h is the height of the prism. Carltren solves for w and writes the equivalent equation w =

Volume of a rectangular prism = length * width * height

V= l*w*h

Solve for w. divide both sides by l*h

[tex]\frac{V}{l*h} = w[/tex]

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

[tex]\frac{138.24 }{3.2*9.6} = w[/tex]

4.5= w

So width of the rectangular prism = 4.5 inches