Chapter 12.5, Problem 24PPS

To determine

To determine the volume of the pyramid.

Answer to Problem 24PPS

  $42000000{\text{ feet}}^3$

Explanation of Solution

Given:

Height of the pyramid $=350$ feet

Square base of the pyramid $=600$ feet

Formula used:

Volume of the pyramid $=\frac{lwh}{3}\left[l=\text{length, }w\text{=}\text{width, }h\text{=}\text{height}\right]$

Calculation:

The height of the pyramid $=350$ feet and the Square base of the pyramid $=600$ feet.

So from this the value of length $=$ width [i.e. l $=$ b ] as the base is square.

Now,

  $\Rightarrow$ Volume of the pyramid $=\frac{lwh}{3}$

  $\Rightarrow$ Volume of the pyramid $=\frac{600\times 600\times 350}{3}$

  $\Rightarrow$ Volume of the pyramid $=\frac{600\times 600\times 350}{3}$

  $\Rightarrow$ Volume of the pyramid $=\frac{600\times 600\times 350}{3}$

  $\Rightarrow$ Volume of the pyramid $=\frac{600\times 600\times 350}{3}$

  $\Rightarrow$ Volume of the pyramid $=\frac{600\times 600\times 350}{3}$

  $\Rightarrow$ Volume of the pyramid $=\frac{126000000}{3}$

  $\Rightarrow$ Volume of the pyramid $=42000000{\text{ feet}}^3$

Conclusion:

Therefore, the volume of the pyramid is $42000000{\text{ feet}}^3.$