Question

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

Answer 1

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=(length\cdot width\cdot height)/(3)`

STEP 3: Substitute the known values

`\begin{gathered} 88=(3\cdot8\cdot h)/(3) \\ 88=8h \end{gathered}`

STEP 3: solve for the height

`\begin{gathered} Divide\text{ both sides by 8} \\ (88)/(8)=(8h)/(8) \\ 11=h \\ h=11m \end{gathered}`

Hence, the height of the rectangular pyramid is 11m