Question

A square pyramid has a perpendicular height of 16cm. If a side of the base is 6cm, determine the volume of a pyramiD.

Answer 1

Volume of Pyramid = $\bold {192\ cm^2}$

Step-by-step explanation:

Given,

Height of Pyramid = 16 cm,Side of Square = 6 cm

We know that,

$Volume\ of\ Pyramid = \frac{1}{3}\times Area\ of\ Base\times Height$

Area of Square Base = $side\times side$

                                   = $6cm\times 6cm$

                                    = $36\ cm^2$

Volume of Pyramid = $\bold {\frac{1}{3}\times 36\times 16}$

                           = $12\times 16$

                           = $\bold {192\ cm^2}$

Answer 2

The volume of  pyramid is 192 cubic cm.

Step-by-step explanation:

Since we have given that

Base of square = 6 cm

Height = 16 cm

So, Volume of pyramid would be

$=\dfrac{1}{3}\times \text{Area of base}\times height\\\\=\dfrac{1}{3}\times 6\times 6\times 16\\\\=192\ cm^3$

Hence, the volume of  pyramid is 192 cubic cm.

# learn more:

The volume of the pyramid on a square base side 5cm height 6cm

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