Question

A box has a rectangular base with a length of 3x + 2 and width of 2x - 2, and the base has a perimeter of 60 centimeters. If the height of the box is x, what is the volume of the box? A) 600 cm3 B) 748 cm3 C) 840 cm3 D) 1,200 cm3 Submit Hint Algebra and Modeling (MAFS.912.A-CED-1.4) Rearrange Formulas ID: 100350

Answer 1

Let's solve for x first via the perimeter.

2(3x+2) + 2(2x-2) = 60
6x + 4 + 4x -4 = 60
10x = 60
x = 6

Therefore the length is 3(6) + 2 = 20 and the width is 2(6) - 2 = 10.

Volume is length x width x height

20 x 10 x 6 = 1200

Your final answer should be 1200 cubic cm or D. Hope this helps!