Question

What is the volume of a square pyramid with a base length of 6 cm and a height of 9 cm?

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__ cm³

Answer 1

By definition, the volume of a square-based pyramid is given by:
V = ((Ab) * (h)) / (3)
Where,
Ab: base area
h: height
Substituting the values we have:
V = ((6 * 6) * (9)) / (3) = 108 cm ^ 3
answer
the volume of a square pyramid is 108 cm ^ 3

Answer 2

`V=108\ cm^(3)`

Explanation:

we know that

The volume of a pyramid is equal to

`V=(1)/(3)Bh`

where B is the area of the base of the pyramid

h is the height of the pyramid

Step 1

Find the area of the base B

The area of a square is equal to

`B=b^(2)`

where

b is the length side of the square

we have

`b=6\ cm`

substitute

`B=6^(2)=36\ cm^(2)`

Step 2

Find the volume of the pyramid

`V=(1)/(3)Bh`

we have

`B=36\ cm^(2)`

`h=9\ cm`

substitute

`V=(1)/(3)(36)(9)=108\ cm^(3)`