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

Answer:

5b  

Step-by-step 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 = $\frac{\text{height of prism}}{2}$

$=\frac{30}{2}=15\text{ ft}$

Now, the volume of the pyramid = $\frac{1}{3}$ × base area × height

$=\frac{1}{3}\times b\times 15$

$=\frac{15b}{3}$

= 5b ft²

Hence, THIRD option is correct.

Answer 2

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