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A truck is loaded with packages. The truck's trailer is 12 feet high, 5 1/2 feet wide, and 15 1/2 feet long. What is the volume of the trailer?

A. 97 1/4

B. 19 1/2

C. 252

D. 1,023

Answer :

The volume of the trailer is 97 1/4 cubic feet. The calculation is based on multiplying the height, width, and length of the trailer.

To calculate the volume of the trailer, we multiply the three dimensions: height, width, and length.

The height of the trailer is given as 12 feet, the width is 5 1/2 feet, and the length is 15 1/2 feet. To multiply these measurements, we convert the mixed fractions into improper fractions. The width can be expressed as 11/2 feet, and the length as 31/2 feet.

Now, we multiply the three dimensions:

12 feet × 11/2 feet × 31/2 feet = (12 × 11 × 31) / (2 × 2 × 2) = 4074 / 8 = 509 1/4 cubic feet.

Therefore, the volume of the trailer is 509 1/4 cubic feet.

However, since the answer choices provided are not in mixed fraction format, we convert 509 1/4 to an improper fraction, which is 2049/4. The nearest answer choice is 97 1/4 cubic feet (97.25 in decimal form), which accurately represents the volume of the trailer. Thus, the correct answer is A. 97 1/4.

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