Question

Find the volume of the triangular prism. Show ALL of your work.



(4 points)

Answer 1

thouse meser ments are cloce the mesher mints are hight 3cm base 4cm and with 7cm

Answer 2

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.

Given:
Base of triangle = 6 cm
Height of triangle = 3 cm
Height of prism = 8 cm

First, find the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 6 * 3
Area = 9 cm²

Now, multiply the area of the base by the height of the prism to find the volume:
Volume = Area of base * height of prism
Volume = 9 cm² * 8 cm
Volume = 72 cm³

Therefore, the volume of the triangular prism is 72 cubic centimeters.

Answer 3

Given:
Base of triangle = 4 cm
Height of triangle = 3 cm
Height of prism = 7 cm

First, find the area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 4 * 3
Area = 6 cm²

Now, multiply the area of the base by the height of the prism to find the volume:
Volume = Area of base * height of prism
Volume = 6 cm² * 7 cm
Volume = 42 cm³

Therefore, the volume of the triangular prism is 42 cubic centimeters.