Chapter 1.1, Problem 56E

To determine

To find: The height h of the solid.

Answer to Problem 56E

The height h of the rectangular pyramid is 3.5 ft.

Explanation of Solution

Given information:

Volume of rectangular pyramid $V=35{\text{ ft}}^3$ and

Basearea $B=30{\text{ ft}}^2$ .

Formula Used: Formula of volume of cone $V=\frac{1}{3}B\times h.$

WhereB is base areaandh is height of cuboid .

Calculation:

Plugging values $V=35{\text{ ft}}^3\text{ and}$

  $B=30{\text{ ft}}^2$

  $V=\frac{1}{3}B\times h$

  $35=\frac{1}{3}\times 30\times h$

Switch sides

  $\frac{1}{3}\times 30\times h=35$

Simplify

  $10h=35$

Dividing on both sides by 10.

  $\frac{10\times h}{10}=\frac{35}{10}$

Simplify

  $h=3.5\text{ ft}$

Therefore, the height of rectangular pyramid is 3.5 ft.