Chapter 12.5, Problem 10PPS

To determine

To find the volume of the given square pyramid.

Answer to Problem 10PPS

  $V=605$ cubic inches

Explanation of Solution

Given:

  

Height ( $h$ ) $=15$ inches, side of the base $=11$ inches.

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.

Area of a square $={(side)}^2$

Calculation:

Since the given pyramid is a square pyramid, so it has a squarebase.

So, $B={(side)}^2$

  $\Rightarrow B={(11)}^2$

  $\Rightarrow B=121$ square inches

Now for the volume ( $V$ ) of the pyramid,

  $V=\frac{1}{3}Bh$

Now put the values of $B=121$ and $h=15$ ,

  $\Rightarrow \frac{1}{3}\times 121\times 15$

  $\Rightarrow \frac{1815}{3}$

  $\Rightarrow V=605$ cubic inches

Conclusion:

Therefore, the volume of the given square pyramid is 605 cubic inches.