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

Question

asked Jun 26, 2023 179k views

1 Answer

Matt Browne · Answer 1 · 2023-07-02T14:10:38+0000

SOLUTION

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

STEP 1: Write the given details

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