A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si

Question

raketka [301]

2 years ago

5

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si

de of 15. If the volumes of the two prisms are equal, what is
the height of the second prism?

Mathematics

1 answer:

RSB [31] · Answer 1 · 2023-05-11T05:53:53+03:00

Answer:

The height of the second prism is 12 units.

Step-by-step explanation:

First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

$Volume= 15^2 x\\2700/225=x\\12=x$