Question

Can you please help me out with a question

Answer 1

The volume of a pyramid with base area B and height x is:

`V=(1)/(3)Bx`

Solve for x:

`\Rightarrow x=(3V)/(B)`

The area of the base is given by the product of its sides, which have lengths 9in and 4in:

`B=9in*4in=36in^2`

Substitute the values of B and V into the expression for x:

`x=\frac{3(66in^3)^{}}{36in^2}=5.5\text{ in}`

Therefore, the value of the height x, is:

`5.5\text{ in}`