Answer:
- Use the formula A = one-half b h to find the area of the base.
- The area of the base, A, is One-half (8) (14) = 56 meters squared.
- The volume of the prism, V is (56) (7) = 392 meters cubed
Step-by-step explanation:
To find the volume of right triangular prism, the following steps should be followed:
The formula bfor calculating the volume = Base Area × Height.
Step 1:
- Use the formula A = one-half b h to find the area of the base.
This formula of a triangle bus used because the base of a triangular prism is triangular in nature.
b is the base of the triangle
h is the height of the triangle
Step 2:
Given base if triangle = 8m
Height of triangle = 14m
We substitute this values into the formula of the base area to have the second step:
Base area = 1/2(8)(14) = 56m²
- The area of the base, A, is One-half (8) (14) = 56 meters squared.
Step 3:
Then we calculate the volume if the prism where height of the prism is 8m
volume of the prism = 56 × 7
= 392m³.
This gives us the final step
- The volume of the prism, V is (56) (7) = 392 meters cubed
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