Question

Find the height of a rectangular pyramid with length 3 meters, width 8 meters, and volume 88 cubic meters.

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

$height=?,length=3m,Volume=88m^3$

STEP 2: Write the formula for the volume of a rectangular pyramid

$Volume=\frac{length\cdot width\cdot height}{3}$

STEP 3: Substitute the known values

$\begin{gathered} 88=\frac{3\cdot8\cdot h}{3} \\ 88=8h \end{gathered}$

STEP 3: solve for the height

$\begin{gathered} Divide\text{ both sides by 8} \\ \frac{88}{8}=\frac{8h}{8} \\ 11=h \\ h=11m \end{gathered}$

Hence, the height of the rectangular pyramid is 11m