akiothegod01oxorl4
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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

Respuesta :

sivilsavannah12
15b is the answer to this question hope this was helpful

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 = [tex]\frac{\text{height of prism}}{2}[/tex]

[tex]=\frac{30}{2}=15\text{ ft}[/tex]

Now, the volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height

[tex]=\frac{1}{3}\times b\times 15[/tex]

[tex]=\frac{15b}{3}[/tex]

= 5b ft²

Hence, THIRD option is correct.

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