Question

Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume of all the pans? 7^2×2

Answer 1

ANSWER

D. (7^2 x 2) x 4

EXPLANATION

Each pan is a square, so the volume is the product of its side lenghts:

$V_{1\text{pan}}=7\cdot7\cdot2=7^2\cdot2$

The volume of all the pans is the sum of the volumes of each pan. SInce all the pans are equal, the total volume is 4 times the volume of 1 pan:

$V=4\cdot V_{1\text{pan}}=(7^2\cdot2)\cdot4$