a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each brick is 1920 kg/m^3. the maximum capacity of the contractor's trailer is 900 kg. can the trailer hold the weigh of 500 bricks? justify your answer.

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08-04-2017
Mathematics

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a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each brick is 1920 kg/m^3. the maximum capacity of the contractor's trailer is 900 kg. can the trailer hold the weigh of 500 bricks? justify your answer.

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2017-04-21T08:47:10+02:00

No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.