Chapter 1.1, Problem 28PPS

(a)

To determine

To find: the area of the base of the pyramid.

Answer to Problem 28PPS

The area of the base of the pyramid is 52900 ${\text{m}}^{\text{2}}$ .

Explanation of Solution

Given information:

The great Pyramid in C, E, is approximately 146.7 meters high, and given side of its base is approximately 230 meters.

Formula used:

  $A=\mathcal{l}w$

Calculation:

Consider the given formula

  $A=\mathcal{l}w$

Now, substitute the length and width of the base in formula

  $\begin{array}{c}A=\mathcal{l}w\\ A=230\left(230\right)\\ A=52900{\text{m}}^2\end{array}$

Hence, the area of the base of the pyramid is 52900 ${\text{m}}^{\text{2}}$ .

(b)

To determine

To find: the volume of the great Pyramid.

Answer to Problem 28PPS

The volume of the great pyramid is 2586810 ${\text{m}}^{\text{3}}$ .

Explanation of Solution

Given information:

The great Pyramid in C, E, is approximately 146.7 meters high, and given side of its base is approximately 230 meters.

Formula used:

The volume of a pyramid is $\frac{1}{3}Bh$ , where $B$ is the area of the base and $h$ is the height.

Calculation:

Consider the given formula

  $\frac{1}{3}Bh$

Now, substitute the are of the base and height in to the formula,

  $\begin{array}{c}V=\frac{1}{3}Bh\\ =\frac{1}{3}\left(52900\right)\left(146.7\right)\\ =2586810\end{array}$

Hence, the volume of the great pyramid is 2586810 ${\text{m}}^{\text{3}}$ .