Question

Calculate the volume of the pyramid shown with measurements a = 3, b = 7, and c = 9.63 units348 units331.5 units330 units3

Answer 1

The volume of a pyramid is given by:

$V=\frac{1}{3}\cdot A_b\cdot h\text{.}$

Where:

• Ab is the area of the base,

,

• h is the height.

In this case, we have:

• a = 3 units,

,

• b = 7 units,

,

• c = 9 units,

,

• Ab = b * c,

,

• h = a = 3 units.

Replacing the data in the formula above, we get:

$V=\frac{1}{3}\cdot(b\cdot c)\cdot a=\frac{1}{3}\cdot(7\text{ units}\cdot9\text{ units})\cdot3\text{ units }=63units^3\text{.}$

Answer: 63 units³