Two boxes have the same volume. One box has a base that is 2 inches by 2 inches. The other box has a base that is 4 inches by 4
inches.
How many times as tall is the box with the smaller base?
2 answers:
Answer:
It is 4 times as tall
Step-by-step explanation:
Answer:
4 times as tall.
Step-by-step explanation:
Volume of the box with the smaller base = 2*2* h1 = 4h1 where h1 is its height.
Similarly the volume of the larger base box = 4*4 * h2 = 16h2 with height h2.
So the ratio of their volumes is 16h2 / 4h1 = 4h2 / h1.
Now the volumes are equal so 4h2 = h1.
Therefore h2 = h1/4 so h1 = 4h2.
The box with the smaller base is 4 times as tall as the other box.
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