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

Question

4 years ago

6

inches.
How many times as tall is the box with the smaller base?

2 answers:

Vsevolod [243] · Answer 1 · 2022-01-14T08:59:30+03:00

7 0

Answer:

It is 4 times as tall

Step-by-step explanation:

lianna [129] · Answer 2 · 2022-01-14T07:23:08+03:00

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.