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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

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 722 class=

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ANSWER

D. (7^2 x 2) x 4

EXPLANATION

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

[tex]V_{1\text{pan}}=7\cdot7\cdot2=7^2\cdot2[/tex]

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:

[tex]V=4\cdot V_{1\text{pan}}=(7^2\cdot2)\cdot4[/tex]

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