Question

chelsea is planting flowers in two wooden planter boxes in her backyard. the first planter box holds 1,512 cubic inches of soil and is larger than the second planter. the second planter box is 7 inches wide, 20 inches long, and 6 inches high.
which expression can be used to determine the difference in the amount of soil the two planter boxes can hold?

a. $1,512 - (7 \times 20 \times 6)$

b. $1,512 + (7 + 20 + 6)$

c. $1,512 + (7 \times 20 \times 6)$

d. $1,512 - (7 + 20 + 6)$

Explanation:

Step1: Find volume of second planter

Volume of a rectangular prism (planter) is \( \text{width} \times \text{length} \times \text{height} \). So for the second planter, volume is \( 7 \times 20 \times 6 \).

Step2: Find difference in soil

First planter holds \( 1,512 \) cubic inches. To find the difference, subtract the volume of the second planter from the first. So the expression is \( 1,512 - (7 \times 20 \times 6) \).

Answer:

A. \( 1,512 - (7 \times 20 \times 6) \)