Answer:
The value of [tex]B (base\ area) = 27m^2[/tex]
Step-by-step explanation:
Let's recall the the formula for volume of a pyramid.
Volume of a Pyramid [tex]= \frac{1}{3}\times B\times H}[/tex]....equation [tex](1)[/tex]
where [tex]B=Base\ area (m^2)[/tex] and [tex]H=height\ (m)[/tex]
Now we have been given the values of [tex]V[/tex] and [tex]H[/tex] and have to find the value of [tex]B[/tex]
Plugging the values of [tex]V[/tex] and [tex]H[/tex] in equation [tex](1)[/tex]
[tex]B=\frac{3\times V}{H}= \frac{3 \times 81}{9} = 27\ m^2[/tex]
Now we can also check our previous results.
[tex]V = \frac{24\times 7}{3}=8 \times 7 =56\ m^3[/tex]
So, our final answer is [tex]27\ m^2[/tex]
