Question

HIGH SCHOOL MATH ....

Answer 1

Answer:

The value of $B (base\ area) = 27m^2$

Step-by-step explanation:

Let's recall the the formula for volume of a pyramid.

Volume of a Pyramid $= \frac{1}{3}\times B\times H}$....equation $(1)$

where $B=Base\ area (m^2)$ and $H=height\ (m)$

Now we have been given the values of $V$ and $H$ and have to find the value of $B$

Plugging the values of $V$ and $H$ in equation $(1)$

$B=\frac{3\times V}{H}= \frac{3 \times 81}{9} = 27\ m^2$

Now we can also check our previous results.

$V = \frac{24\times 7}{3}=8 \times 7 =56\ m^3$

So, our final answer is $27\ m^2$