A rectangular solid has a square base and a height of 7 in. If the volume of the solid is 252 in³, find the length and width. A) 3 in B) 36 in C) 6 in D) 8 in E) 42 in

Question

Quizplus · Accepted Answer

Let the length and width of the square base be x. 
Then, the volume of the solid is V = x^2 * 7 = 7x^2. 
We are given that V = 252, so: 
7x^2 = 252 
x^2 = 36 
x = 6 (since x is positive) 
Therefore, the length and width of the base are both 6 inches. 
The answer is choice C.

A Rectangular Solid Has a Square Base and a Height