A standard brick is 3.625 inches wide, 2.25 inches high, and 7.625 inches long. How many bricks could be in a pallet of bricks that measures 4 feet on all sides? (One cubic foot is 12*12*12 cubic inches.)

A. 1,757

B. 1,974

C. 1,709

D. 1,778

Answer: Option D. 1,778

Solution:

Standard brick:

Width: w=3.625 in

Height: h=2.25 in

Length: l=7.625 in

Volumen of one standard brick: v

v=w*h*l

v = (3.625 in) * (2.25 in) * (7.625 in)

v=62.19140625 in^3

Pallet of bricks:

Side: s=4 feet

s = (4 feet) * (12 in / 1 feet) →s=48 in

Volume of a pallet of bricks: V=s^3

V = (48 in) ^3

V=110,592 in^3

Number of bricks could be in a pallet: n

n=V/v

n = (110,592 in^3) / (62.19140625 in^3)

n=1,778.252119

n=1,778