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

Answer 1

Answer: 1,200 cm3

Explanation:

p = 2l + 2w

60 = 2(3x + 2) + 2(2x - 2)

60 = 6x + 4 + 4x - 4

60 = 10x

x = 6

Thus,

l = 3x + 2 = 3(6) + 2 = 20

w = 2x - 2 = 2(6) - 2 = 10

h = x = 6

V = lwh = (20)(10)(6) = 1,200 cm3