Question

The volume of a rectangular prism is 300 cubic inches.

The length of the rectangular prism is 4 inches,
the width is x + 4, and the height is x – 6.
Find the value of x, and the dimensions of the rectangular prism.

Answer 1

x = 11 the width is 15 and the height is 4

Explanation:

300 / 4 = 75

(X-6)*(X+4)=75

factors of 75

1 * 75 no

3 * 25 no

5 * 15 yes

11 - 6 = 5

11 + 4 = 15