A rectangle bin 4 feet long,3 feet wide and 2 feet high is solidly packed with bricks whose dimensions are 8 inches,4 inches and 2 inches. The number of bricks in the bin is54320648848
Question
A rectangle bin 4 feet long,3 feet wide and 2 feet high is solidly packed with bricks whose dimensions are 8 inches,4 inches and 2 inches. The number of bricks in the bin is54320648848
Solution
The question seems to be asking for the number of bricks that can fit in the bin, but it already provides a number (54320648848), which seems to be a mistake.
Let's calculate the number of bricks that can fit in the bin:
First, we need to convert the dimensions of the bin from feet to inches, since the dimensions of the bricks are given in inches.
1 foot = 12 inches
So, the bin is 48 inches long, 36 inches wide, and 24 inches high.
The volume of the bin is length x width x height = 48 x 36 x 24 = 41472 cubic inches.
The volume of one brick is 8 x 4 x 2 = 64 cubic inches.
So, the number of bricks that can fit in the bin is the volume of the bin divided by the volume of one brick = 41472 / 64 = 648 bricks.
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