Question

The volume of a triangular prism is 160 cubic centimeters (cm³). One of

the rectangular faces of the triangular prism has a side of length 8
centimeters (cm) and a side of length 5 cm, as shown. What is the vertical
height, h, in centimeters, of the triangular face of the prism?

Answer 1

To find the vertical height, h, of the triangular face of the prism, we need to calculate the volume of the triangular prism using the given formula and then solve for h.

Step-by-step explanation:

To find the vertical height, h, of the triangular face of the prism, we need to calculate the volume of the triangular prism using the given formula and then solve for h.

Given that the volume of the triangular prism is 160 cm³, one of the rectangular faces has a side length of 8 cm and 5 cm.

Using the formula V = Ah, where A is the area of the base and h is the height, we can rearrange the formula to solve for h by dividing both sides of the equation by A.

So, h = V / A = 160 cm³ / (8 cm × 5 cm) = 4 cm.