Find the volumes:
V₁ = Volume of each brick
V₁ = (L) (W)(H)
= (2 in) (4 in) (9 in)
= 72 in³ (cubic inches) Volume of each brick
V₂ = Total volume of the brick closely stacked in pile
V₂ = (7 ft) (36 ft) (12 ft)
= 3,024 ft³(cubic feet) Total volume of bricks
Convert cubic ft. (ft³) to cubic inches (cu³)
1 ft³ = 1,728 in³ or (12 in)³
3,024 ft³ x 1,728 in³ / ft³ = 5,225,472 in³
V₂ in cubic inches = 5,225,472 in³
Divide V₂ by V₁:
5,225, 472 in³ ÷ 72 in³ = 72,576 bricks
ANSWER: There are 72,576 bricks in a pile.