Chapter 1.1, Problem 54E

To determine

To find: The height h of the solid.

Answer to Problem 54E

The height h of the solids = 9 cm.

Explanation of Solution

Given information:

Volume of Cuboid (V) $=1323{\text{ cm}}^3$ and

Base area of cuboid(B) $=147{\text{ cm}}^2$ .

Formula Used: Volume of cuboid (V) = $B\times h,$

WhereB is base areaandh is height of cuboid.

Calculation:

Plugging values V $=1323{\text{ cm}}^3{\text{ and B=147 cm}}^2$

V = $B\times h$

  $1323=147\times h$

Switch side

  $147\times h=1323$

Dividing by 147 on both sides.

  $\frac{147\times h}{147}=\frac{1323}{147}$

Simplify

  $h=9\text{ cm}$

Therefore, the height of cuboid is 9 cm.