Problema Solution

If fired clay(brick) weighs 55.0 pounds per cubic foot, how much will a pallet of bricks weigh if it contains 556.0 bricks, each measuring 3 5/8 inches x 2 1/4 inches x 8 inches?

Answer provided by our tutors

The volume of one brick is:

V = (3 5/8)*(2 1/4)*8

V = (29/8)*(9/4)*8

V = 62.25 in^3

The volume of 556 bricks is:

556*62.25 = 36,279 in^3

1 ft = 12 in

1 ft^3 = 12^3 in^3

1 in^3 = 1/(12^3) ft^3

36,279 in^3 = 36,279*1/(12^3) ft^3

Since 1 ft^3 weighs 55.0 pounds 36,279*(1/(12^3)) ft^3 will weigh:

(36,279/(12^3))*55 = 1,154.71 pounds

The pallet of bricks weighs 1,154.71 pounds.