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

Answer:

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

Step-by-step explanation:

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

$V=\frac{1}{3} A_b\times h$

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.

$V=\frac{1}{3} (8.2 \ cm^2)\times (4 \ cm)$

Multiply 8.2 square centimeters and 4 centimeters.  

• 8.2 cm² * 4 cm= 32.8 cm³

$V=\frac{1}{3} (32.8 \ cm^3)$

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.