Question

What is the volume of a triangular pyramid that has a base area of 8.2 square centimeters and a height of 4

centimeters? Label the answer correctly and round to the nearest tenth of a cubic centimeter

Answer 1

`\boxed {\boxed {\sf V \approx 10.9 \ cm^3}}`

Explanation:

The volume of a triangular pyramid can be found using the following formula:

`V=(1)/(3) A_b* h`

Basically, we have to multiply 1/3, the height, and the base area.

We know that the base area is 8.2 square centimeters and the height is 4 centimeters.

`A_b=8.2 \ cm^2 \\h= 4 \ cm`

Substitute the values into the formula.

`V=(1)/(3) (8.2 \ cm^2)* (4 \ cm)`

Multiply 8.2 square centimeters and 4 centimeters.

• 8.2 cm² * 4 cm= 32.8 cm³

`V=(1)/(3) (32.8 \ cm^3)`

Multiply 1/3 and 32.8 cubic centimeters.

`V= 10.9333333 \ cm^3`

Round to the nearest tenth.

The 3 in the hundredth place tells us to leave the 9 in the tenth place.

`V \approx 10.9 \ cm^3`

The volume of the triangle pyramid is about 10.9 cubic centimeters.