Chapter 12, Problem 25SGR

To determine

To find the volume of The Great Pyramid.

Answer to Problem 25SGR

  $91,636,272$ cubic feet

Explanation of Solution

Given:

  

Height ( $h$ ) $=481$ feet, side of the base $=756$ feet

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

  $\Rightarrow B={(756)}^2$

  $\Rightarrow B=571,536$ square feet

Now for the volume ( $V$ ) of the pyramid, use the below formula.

  $\Rightarrow V=\frac{1}{3}Bh$

Now put the values of $B=571,536$ and $h=481$ ,

  $\Rightarrow \frac{1}{3}\times 571536\times 481$

  $\Rightarrow 91,636,272$

  $\Rightarrow V=91,636,272$ cubic feet

Conclusion:

Therefore, the volume of The Great Pyramid is $91,636,272$ cubic feet.