Question

HIGH SCHOOL MATH ....

Answer 1

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

Explanation:

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

Volume of a Pyramid
`= (1)/(3)* B* 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=(3* V)/(H)= (3 * 81)/(9) = 27\ m^2`

Now we can also check our previous results.

`V = (24* 7)/(3)=8 * 7 =56\ m^3`

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