Question

Find the volume of a square based pyramid with a base length of 8 m and a height of 14 m.

Answer 1

$V = \frac{1}{3} \times base \: area \: \times height$

$V = \frac{1}{3} \times {8}^{2} \times 14$

$V = \frac{1}{3} \times 64 \times 14$

$V = \frac{896}{3} \: \: \: {m}^{3}$

Answer 2

$\large\pink{\sf{Given:}}$

Base of square pyramid- 8m

Height of square pyramid-14m

$\large\purple{\sf{To\:find:}}$

Volume of pyramid=?

$\large\blue{\sf{Solution:}}$

• Formula to find volume of square pyramid;

$\begin{gathered}\\ \sf\longmapsto \frac{1}{3}×(base \:area)×(height)\end{gathered}$

• Putting values
• Base=8, Height=14 [Given]

$\begin{gathered}\\ \sf\longmapsto \frac{1}{3}×8^{2}×14\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{1}{3}×\frac{64}{1}×\frac{14}{1}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{1×64×14}{3×1×1}\end{gathered}$

$\begin{gathered}\\ \sf\longmapsto \frac{896}{3}\end{gathered}$

OR

$\begin{gathered}\\ \sf\longmapsto 298.666\:when\:simplified\end{gathered}$

Hence, The volume of square pyramid is 298.666 cubic units.