When finding the volume of a triangular prism, first we must find the area of the base.

What is the area of the base of the triangular prism?
Height: 3 cm
Length: 7 cm
Width: 2 cm

3 answers

To find the area of the base of the triangular prism, we need to first calculate the area of the triangle.

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height
In this case, the base of the triangle is 7 cm and the height is 3 cm.

Area = 1/2 * 7 cm * 3 cm
Area = 1/2 * 21 cm
Area = 10.5 cm

Therefore, the area of the base of the triangular prism is 10.5 square centimeters.
When finding the volume of a triangular prism, we multiply the area of the base x the height of the prism.

Find the volume of the triangular prism.
Height: 3 cm
Length: 7 cm
Width: 2 cm
To find the volume of the triangular prism, we first calculate the area of the triangular base, which we already determined to be 10.5 square centimeters.

Now, we multiply the area of the base by the height of the prism:
Volume = Area of base x Height
Volume = 10.5 cm^2 x 3 cm
Volume = 31.5 cm^3

Therefore, the volume of the triangular prism is 31.5 cubic centimeters.