Question

a storage container is a rectangular prism with a volume of 392 cubic inches. the height of the container is 3 inches less than its length and its width is twice the length. what are the dimensions of the container?

Answer 1

Explanation:

Let the length of the rectangular prism = x inches

Width of the rectangular prism = 2 x length = 2x inches

Height of the rectangular prism = 3 inches less than the length = (x -3) inches

Volume of the rectangular prism = length x width x height = 392 cubic inches

= (2x) inches x (x) inches x (x -3) inches = 392 cubic inches

= x2(x-3) = 196 cubic inch

X = 8.59 inch

Length of the rectangular prism = x inches = 7 inch

Width of the rectangular prism = 2 x length = 2 x 7 inch = 14 inch

Height of the rectangular prism = 3 inches less than the length = (x -3) inches = 7 – 3 = 4 inch