Chapter SH, Problem 12.5MPS

i.

To determine

Calculate the volume of model of The Great Pyramid of Giza.

Answer to Problem 12.5MPS

Volume of model of The Great Pyramid of Giza $200i{n}^3$

Explanation of Solution

Given:

Side of square base (a) = 10 inch

Height of model (h) = 6 inch

Calculations:

Here, model is having square pyramid, so we have to calculate the volume of square pyramid.

We know that, volume of square pyramid is given as, $a^3\frac{h}{3}$

Now putting values in the formula, we getvolume of square pyramid $\begin{array}{l}Volumeofsquarepyramid=a^2\frac{h}{3}\\ ={10}^2\frac{6}{3}\\ Volumeofsquarepyramid=200i{n}^3\end{array}$

Conclusion:

Therefore, we are able to find the volume of model of pyramid of Giza.

ii.

To determine

Calculate the total area of sides of Great Pyramid of Giza.

Answer to Problem 12.5MPS

Total area of sides of Great Pyramid of Giza $3844i{n}^2$

Explanation of Solution

Given:

Side of square base (a) = 10 inch

Slant height of model (h) = 7.8 inch

Calculations:

Here, model is having square pyramid, so we have to calculate the area of sides of square pyramid.

We know that, area of sides of square pyramid is given as, $12\times perimeter\times slantheight+Areaofbase$

Now putting values in the formula, we getarea of sides of square pyramid

  $\begin{array}{l}Areaofsidesofsquarepyramid=12\times perimeter\times slantheight+Areaofbase\\ =12\times \left(4\times 10\right)\times 7.8+\left({10}^2\right)\\ =3744+100\\ Areaofsidesofsquarepyramid=3844i{n}^2\end{array}$

Conclusion:

Therefore, we are able to find the area of sides of square pyramid.