Question

Find the volume of the prism

Answer 1

The volume of a triangular prism is the volume of the base multiplied by the height of the prism.

Let's first identify our values:

20 cm = height of prism

3 cm = base of triangle

4 cm = height of triangle

First, we need to calculate the area of the triangle.

Formula: Area = base × height ÷ 2

The base is 3 and the height of the triangle is 4 so we multiply 3 × 4 and we get a product of 12. Next, we need to divide 12 by 2 and we will get a quotient of 6.

Area of base = 6

Finally, we multiply the area of the base by the height of the prism.

6 × 20 = 120

Since there are no units given, our answer will be option C.

Therefore, the volume of the triangular prism is 120
`units^(3)`

Answer 2

The Volume of the Given Prism = Area of the Triangle × Length of the Prism

We know that Area of the Triangle = 1/2 × Base × Height

Base of the Triangle = 3

Height of the Triangle = 4

⇒ Area of the Triangle = 1/2 × 3 × 4 = 6 cm²

Length of the Given Prism is 20 cm

⇒ Volume of the Given Prism = 20 × 6 = 120 cm³

Option C is the Answer