The measurements of a triangular prism and a triangular pyramid have a height of 9 cm by 6 cm by 4 cm what is the volume of each shape

1 answer

The volume of a triangular prism is given by the formula: V = (1/2) * b * h * l
where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.

In this case, the base of the triangle is 6 cm, the height of the triangle is 4 cm, and the length of the prism is 9 cm. Therefore, the volume of the prism is:
V = (1/2) * 6 * 4 * 9
V = 108 cm^3

The volume of a triangular pyramid is given by the formula: V = (1/3) * b * h
where b is the base of the triangle and h is the height of the pyramid.

In this case, the base of the triangle is still 6 cm, and the height of the pyramid is 4 cm. Therefore, the volume of the pyramid is:
V = (1/3) * 6 * 4
V = 8 cm^3

So, the volume of the triangular prism is 108 cm^3 and the volume of the triangular pyramid is 8 cm^3.