Question

Dexter has a fish tank shaped like a rectangular prism. It has a volume of 480 in^3 . The height of the tank is 8 inches taller than the width, and the length of the tank is 6 inches longer than the width. What are the dimensions of the fish tank? Please show work 99 points

Answer 1

the height=12; the length=10; the width=4.

Explanation:

1) the formula of the described volume is length*width*height=480 (in.³).

2) according to the condition the height=8+width; the length=6+width.

3) if to substitute all the values into the formula, ⇒ (6+width)*(8+width)*width=480.

(width)³+14(width)²+48width-480=0.

4) if to resolve the equation, the width=4.

The length=6+4=10; the height=8+4=12 (in.).