A shoe box in the shape of a rectangular prism has a length of 12 inches, a width of 6 1/2 inches, and a height of 4 1/2 inches. What is the volume of the shoe box?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given that the dimensions of the rectangular shoe box has a length of 12 inches, a width of 6 1/2 inches, and a height of 4 1/2 inches, the formula for of the volume is V= l * w* h; where V is volume, l is length, w is width and h is height.
Since the values of l, w and h is present, substitute the values to solve for the volume.
> V= l * w* h
> V= 12 * 6 1/2* 4 1/2
Convert mixed numbers into improper fraction:
6 1/2 becomes 6*2 + 1/2; 13/2 and 4 1/2 becomes 4* 2+ 1/2; 9/2
> V= 12 * 13/2* 9/2
> V= 12 * 117/4
> V= 1404/4 or 351
> V= 351 in²
The volume of the object with the values of 12 inches in length, width of 6 1/2 inches and height of 4 1/2 inches is 351 in².