Question

Students use triangular prisms to study light in physics. The prisms have a height of 5 centimeters. The base measures 4 centimeters and the height of the base is 4.5 centimeters. What is the volume of one prism?

The image of the triangular prism has a length of 5 cm, a base is 4 cm, and a height of 4.5 cm.


30

cm
3


90

cm
3


45

cm
3

Answer 1

The volume of one triangular prism is 45 cm³.

Step-by-step explanation:

To find the volume of the triangular prism, we need to multiply the area of the base by the height. The base of the prism is a triangle, so we can find its area using the formula for the area of a triangle: A = 1/2 * base * height. Plugging in the values, we get A = 1/2 * 4 cm * 4.5 cm = 9 cm².

Now, we can calculate the volume of the prism by multiplying the area of the base by the height: V = A * height = 9 cm² * 5 cm = 45 cm³.

Therefore, the volume of one prism is 45 cm³.