Chapter 12.5, Problem 1ACYP

To determine

To find the volume of the given hexagonal pyramid.

Answer to Problem 1ACYP

  $V=40$ cubic centimeters (approximately)

Explanation of Solution

Given:

  

Height, ( $h$ ) $=5$ centimeters

Area of hexagonal base, ( $B$ ) $=22$ square centimeters

Formula used:

Volume of pyramid, $V=\frac{1}{3}Bh$

where $B$ is the area of the base and $h$ is the height of the pyramid.

Calculation:

For the volume ( $V$ ) of the pyramid,

  $V=\frac{1}{3}Bh$

Now put the values of $B=22$ and $h=5$ ,

  $\Rightarrow \frac{1}{3}\times 22\times 5$

  $\Rightarrow \frac{110}{3}$

  $\Rightarrow V=40$ cubic centimeters (approximately)

Conclusion:

Therefore, the volume of the given hexagonal pyramid is $40$ cubic centimeters (approximately).