Question:
The volume of the prism shown is 1,080 in ^3
(Please See attached picture)
What is the volume of a pyramid with the same base length, base width, and height?
360 in ^3
540 in ^3
1,080 in ^3
3,240 in ^3
Answer:
Option A: [tex]360 \ in^3[/tex] is the volume of the pyramid.
Explanation:
It is given that the volume of the prism is [tex]1,080$ in^3[/tex]
The formula to determine the volume of the pyramid is given by
[tex]$V=\frac{l w h}{3}$[/tex]
where [tex]l=15 \ in[/tex]
[tex]w=9 \ in[/tex] and
[tex]h= 9 \ in[/tex]
Substituting the values of l,b and h from the figure, we get,
[tex]V=\frac{15\times8\times9}{3}[/tex]
Simplifying, we get,
[tex]V=\frac{1080}{3}[/tex]
Dividing , we get,
[tex]V=360 \ in^3[/tex]
Thus, the volume of the pyramid is [tex]360 \ in^3[/tex]
Hence, Option A is the correct answer.
Answer:
A) 360^3
Credit:
The person above me, give them branliest
