Final answer:
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.