Question

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm. What is the volume of the pyramid? 12 cm3 16 cm3 32 cm3 48 cm3

Answer 1

Answer:

The volume of the pyramid is $16\ cm^{3}$

Step-by-step explanation:

we know that

The volume of a right pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base of pyramid

h is the height of the pyramid

Find the area of the square base B

The area of the square is equal to

$B=b^{2}$

we have

$b=4\ cm$

substitute

$B=4^{2}=16\ cm^{2}$

Find the volume of the pyramid

we have

$B=16\ cm^{2}$

$h=3\ cm$

substitute

$V=\frac{1}{3}(16)(3)=16\ cm^{3}$

Answer 2

If the length of the base edge is 4 cm and the height of the pyramid is 3 cm. The volume of the pyramid is 16cm³.

Volume of pyramid

Using this formula

Volume of pyramid=1/3 (b×h)

Let plug in the formula

Volume of pyramid=1/3(4²×3)

Volume of pyramid=1/3(16×3)

Volume of pyramid=1/3(48)

Volume of pyramid=16cm³

Therefore the volume of the pyramid is 16cm³.

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