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?

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Lezahkaeid Lezahkaeid

Math

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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?

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Анонимid Анонимid · Answer 1

Solve for the volume:
V₁ = L × W × H
V₁ = (9 in) (4 in) (2 in)
V₁ = 72 in³ (Volume of each brick)

V₂ = (36 ft) (12 ft) (7 ft)
V₂ = 3,024 ft³ (Total Volume of bricks when piled)

Convert 3,024 ft³ to cubic inches:
1 cubic ft = 1,728 cubic inches
3,024 ft³ x 1,728 in³/ft³ = 5,225,472 in³

Divide the result by volume of a brick:
5,225,472 in³ ÷ 72 in³ = 72,576 bricks

ANSWER: 72,576 bricks