Question

Find the volume of the prism. Write your answer as a decimal.

A triangular prism. The base triangle is isosceles triangle with a base of 7.2 meters and height 4.8 meters. The height of the prism is 10 meters.

Answer 1

The volume of the triangular prism with a base of 7.2 meters, height of 4.8 meters, and prism height of 10 meters is 172.8 cubic meters.

Step-by-step explanation:

To find the volume of a triangular prism, you need to know the area of the triangular base and the height (length) of the prism.

The formula for the area of a triangle is 1/2 × base × height.

For the given isosceles triangle with a base of 7.2 meters and a height of 4.8 meters, the area would be calculated as:

Area = 1/2 × 7.2 m × 4.8 m

Once you have the area of the base, you can then use the formula Volume = Area of base × Height of prism to find the volume of the prism. Given that the height of the prism is 10 meters, the calculation would be:

Volume = Area of base × 10 m

Now, applying the numbers:

Area = 1/2 × 7.2 m × 4.8 m = 17.28 m² (to two significant figures)

Volume = 17.28 m² × 10 m = 172.8 m³ (to three significant figures)

The volume of the prism is 172.8 cubic meters when expressed in decimal form.