A rectangular box has a volume of cubic inches. The height of the box is inches. The width of the box is inches. Find the length of the box in terms of x .
A) inches
B) inches
C) inches
D) inches
E) inches

Question

A rectangular box has a volume of  cubic inches. The height of the box is  inches. The width of the box is  inches. Find the length of the box in terms of x .
A) inches 
B) inches 
C) inches 
D) inches 
E) inches

Quizplus · Accepted Answer

The volume of the rectangular box is given by V = lwh, where l is the length, w is the width, and h is the height. We are given that V = 11, h = 11, and w = x. Therefore, we have:
11 = lx(x)(11)
11 = 11xlx
1 = lx^2
l = sqrt(1) = 1
Therefore, the length of the box is 1*x = x. Hence, the answer is 11ebfdc1_ec24_ebb5_abe3_f7319a4745a7_TBX8727_11 inches, which is choice C.

A Rectangular Box Has a Volume of Cubic Inches