Question

A rectangular pyramid has a volume of 40 cubic feet and a height of 6 feet. Find one possible set of dimensions of the base.

Answer 1

Hint: Use the formula to find the unknown quantity.

Step 1: Given the volume of the rectangular pyramid, $V=40f{t}^3\&h=6ft$

Step 2: The formula of the volume of the pyramid is given by:

$$\begin{gathered} V=\frac{1}{3}Bh \\ 40=\frac{1}{3}\left(B\right)\left(6\right) \\ \frac{40\times 3}{6}=B \\ B=20 \end{gathered}$$

Step 3: The area of the base is $20f{t}^2$, so the possible dimension is $5ft$ by $4ft$.

Hence The possible dimension is $5ft$ by $4ft$.