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Building bricks are closely stacked in a pile 7 ft. high, 36 ft. long, and 12 ft. wide. If the bricks are 2 in. by 4 in. by 9 in., how many bricks are in the pile?


Sagot :

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.