Question

A rectangular pyramid has a volume of 1.296 in., a height of 24 in., and a base length of 6 in. What is the width of its base?

3 in.
9 in.
18 in.
27 in.

Answer 1

9 in.

Explanation:

Answer 2

The width of base of rectangular pyramid is 27 inches.

Solution:

Given that

Volume of rectangular pyramid = 1.296 inches

Height of rectangular pyramid = 24 inches

Length of rectangular pyramid = 6 inches

We need to calculate width of the base

`\begin{aligned} \text { Volume of rectangular pyramid } &=\frac{(\text { length } * \text { height } * \text { width })}{3} \end{aligned}`

Let assume width = "x" inches

Now substitute given values and assumed value in formula of volume

`1296=(6 * 24 * x)/(3)`

On simplifying the above term,

`x=(1296 * 3)/(6 * 24)=27`

Hence width of base of rectangular pyramid is 27 inches.