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 6101 in³.

The trunk of his car has a volume of about 41,472 in³, or about 4104 in³.

41046101=23103, 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 4105.

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.

Question

Jenna Barton

Mathematics

1 August, 16:41

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 6101 in³.

The trunk of his car has a volume of about 41,472 in³, or about 4104 in³.

41046101=23103, 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 4105.

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.

+1

Answers (1)

Know the Answer?

Misael Donovan · Answer 1

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.