A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as

Question

3 years ago

10

the square pyramid, what is its height?

1 answer:

Juliette [100K] · Answer 1 · 2022-06-27T09:53:09+03:00

Answer:

4 units

Step-by-step explanation:

The volume of a square pyramid is (a²)*h/3

256=a²*12/3

256=a²*4

256/4=a²

64=a²

a=8

Now we know that the square is 8 by 8.

The volume of a square prism is a²h

256=64h

256/64=h

h=4

Also, a square pyramid is 1/3 the volume of a square prism.

12÷3=4