A rectangular bin 4 feet long, 3 feet wide, and 2 feet high is solidly packed with bricks whose dimensions are 8 inches, 4 inches, and 2 inches. The number of bricks in the bin is

A. 54
B. 648
C. 1298
D. NONE

1 answer

volume of box = 4*3*2 = 24 ft^3

volume of brick = 8/12 *4/12 * 2/12
= 2/3 * 1/3 *1/6 = 1/3 * 1/3 *1/3
= 1/27 ft^3

24/ (1/27) = 648