Question

The dimensions of a box are measured to be 18.4 inches by 17.92 inches by 26 inches. The volume of the box can be found by multiplying these three dimensions. What is the volume of the box expressed to the correct number of significant figures?

A.
8,600 in3
B.
8,573 in3
C.
8,572.9 in3
D.
8,570 in3

Answer 1

The volume of the box is 8,610 cubic inches, rounded to the correct number of significant figures.

Step-by-step explanation:

The volume of the box can be found by multiplying the three dimensions: 18.4 inches x 17.92 inches x 26 inches = 8,607.1552 cubic inches. Since the given dimensions have different numbers of significant figures, we need to express the volume to the correct number of significant figures.

The least number of significant figures among the given dimensions is 3 (17.92 inches), so we need to round the volume to 3 significant figures. Rounding 8,607.1552 to 3 significant figures gives us the answer: 8,610 cubic inches.

This is the closest option to the correct answer.

Answer 2

Explanation:The volume of the box is 8.6 × 10³ in².

V = lwh = 26 in × 18.4 in × 17.92 in = 8.6 × 10³ in²

Note: The answer can have only two significant figures because that is all you gave for the length of the box.

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