The volume of the prism shown above is equal to 42 cubic centimeters.
In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:
Volume of triangular prism, V = 1/2 × a × b × h.
Where:
- b represent the base area of a triangular prism.
- a is the height of a triangle
- h represent the height of a triangular prism.
By substituting the given dimensions (side lengths) into the formula for the volume of a triangular prism, we have;
Volume of triangular prism, V = 1/2 × 4 × 7 × 3
Volume of triangular prism, V = 84/2
Volume of triangular prism, V = 42 cubic cm.