Chapter 12.5, Problem 3CYU

To determine

To find the volume of the given rectangular pyramid.

Answer to Problem 3CYU

  $V=62.4$ cubic meters

Explanation of Solution

Given:

  

Height ( $h$ ) $=5.2$ meters

Rectangular base:

Length $=8$ meters

Breadth $=4.5$ meters

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 rectangle $=Length\times Breadth$

Calculation:

Since the given pyramid is a rectangular pyramid, so it has a rectangular base.

So, area of the base, $B=Length\times Breadth$

  $\Rightarrow B=8\times 4.5$

  $\Rightarrow B=36$ square meters

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

  $V=\frac{1}{3}Bh$

Now put the values of $B=36$ and $h=5.2$ ,

  $\Rightarrow \frac{1}{3}\times 36\times 5.2$

  $\Rightarrow \frac{187.2}{3}$

  $\Rightarrow V=62.4$ cubic meters

Conclusion:

Therefore, the volume of the given rectangular pyramid is $62.4$ cubic meters.