Question

A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height of the prism is 30 ft which expression gives the volume of the pyramid ?

15b
10b
5b
30b

Answer 1

15b is the answer to this question hope this was helpful

Answer 2

5b

Explanation:

Given,

The base area of the prism = base area of the pyramid = b,

Also, the height of the prism = 30 ft,

While, the height of the pyramid =
`\frac{\text{height of prism}}{2}`

`=(30)/(2)=15\text{ ft}`

Now, the volume of the pyramid =
`(1)/(3)` × base area × height

`=(1)/(3)* b* 15`

`=(15b)/(3)`

= 5b ft²

Hence, THIRD option is correct.