How to find the volume of a triangular right prism
Asked by maham237 @ in Mathematics viewed by 304 People
What is the volume of the right triangular prism shown?
Asked by maham237 @ in Mathematics viewed by 304 People
What is the volume of the right triangular prism shown?
Answered by maham237 @
Given:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
Area of the base of the triangle:
The area of the base of the triangle can be determined using the Heron's formula.
Substituting a = 8, b = 15 and c = 17. Thus, we have;
Using Heron's formula, we have;
Thus, the area of the base of the right triangular prism is 36 square units.
Volume of the right triangular prism:
The volume of the right triangular prism can be determined using the formula,
where is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;
Thus, the volume of the right triangular prism is 450 cubic units.
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