Two boxes have the same volume. One box has a base that is 22 inches by 22 inches. The other box has a base that is 44 inches by
44 inches. How many times as tall is the box with the smaller base?
1 answer:
Answer:
4 times
Step-by-step explanation:
Volume formula
V = w * l * h
Given: the two boxes have the same volume
Let h1 = the height of the box with smaller base and h2 = the height of the box with bigger base
So
(22)(22) h1 = (44)(44) h2
484 h1 = 1936 h2
Divide both sides by 484
484 h1/484 = 1936 h2 / 484
Simplifying
h1 = 4 h2
Answer: The height of the box with smaller base is 4 times as tall than the height of the box with bigger base
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