Question

A. Write an expression for the volume of a pyramid with base area B and height H. B. Use your expression from part (a) to find the volume of a pyramid with base area of 34 square units and a height of 9 units.

Answer 1

Given

The expression is given for the volume of pyramid with base B and height H.

In b part, the base area is given 34 sq.units and height is 9 units.w

Explanation

A. To determine the volume of a pyramid with base area B and height H.

The volume of pyramid is

$V=\frac{1}{3}\times B\times H$

B. The area is given 34 square units and a height is 9 units.

To determine the volume of pyramid,

$V=\frac{1}{3}\times B\times H$

Substitute the values B and H and find volume.

$\begin{gathered} V=\frac{1}{3}\times34\times9 \\ V=102cubic\text{ units} \end{gathered}$

Answer

A. The expression for volume of pyramid is

$V=\frac{1}{3}\times B\times H$

B. The volume of pyramid is determined as

$102cubicunits$