a company makes concrete bricks that are shaped like cuboids each brick is 6 inches long,4 inches wide and 3 inches high .how many concrete will they need to make 1200 such bricks.
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Answer:
86400 inches³ of concrete
Step-by-step explanation:
We know that volume of a cuboid = Length * Width * Height
Each brick is shaped like cuboid
So we must find the volume of 1 brick
Volume of 1 brick = Length * Width * Height
= 6 inches * 4 inches * 3 inches
= 72 inches³
We know that the entire volume of the brick is made of concrete
So volume of concrete in 1 brick = 72 inches³
=> Volume of concrete in ( 1 * 1200 ) bricks = ( 72 * 1200 ) inches³ ---> Multiplying both the numbers by 1200 to get the volume of concrete needed to make 1200 bricks
=> Volume of concrete in 1200 bricks = 86400 inches³
Therefore, the company needs 86400 inches³ of concrete to make 1200 such bricks
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