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28 September, 10:23

Desi is looking at his calculator, which is shaped like a rectangular prism, and estimates it is about 3 in. wide, 4 in. tall, and 12 in. thick. He wonders how many of these calculators he could fit in the trunk of his car, which is also roughly shaped like a rectangular prism, 4 ft wide, 3 ft deep, and 2 ft tall. His reasoning, shown here, contains an error.

The calculator has a volume of about 60 in³, or about 6*101 in³.

The trunk of his car has a volume of about 41,472 in³, or about 4*104 in³.

4*1046*101=23*103, so 667 calculators would fit in the trunk of his car.

What is Desi's error?

The value 41,472 should have been rounded to 4*105.

The volume of the car's trunk is not about 41,472 in³.

The value 60 should have been rounded to 6*100.

The volume of the calculator is not about 60 in³.

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Answers (1)
  1. 28 September, 11:47
    0
    We know that 1 ft = 12 in.

    The dimensions of the trunk of a car:

    4 ft = 48 in wide, 3 ft = 36 in deep, 2 ft = 24 in tall.

    V = 48 * 36 * 24 = 41,472 in³

    41,472 in³ ≈ 4 * 10^4 in³

    And the volume of the calculator:

    V (calc.) = 3 * 4 * 12 = 144 in³

    Answer:

    Desi's error is D) The volume of the calculator is not about 60 in³.
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