MATH SOLVE

4 months ago

Q:
# What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and altitude to that side ha= 6 cm.

Accepted Solution

A:

Answer:

volume of prism = 378 cm³

Explanation:

The volume of the right prism can be calculated as follows:

volume of prism = area of base * height of prism

1- getting the area of base:

Our base is a triangle, this means that:

area = 0.5 * base * height

We have:

base = 9 cm

height = 6 cm

Therefore:

area of base = 0.5 * 9 * 6

area of base = 27 cm²

2- getting the volume:

volume of prism = area of base * height of prism

volume of prism = 27 * 14

volume of prism = 378 cm³

Hope this helps :)

volume of prism = 378 cm³

Explanation:

The volume of the right prism can be calculated as follows:

volume of prism = area of base * height of prism

1- getting the area of base:

Our base is a triangle, this means that:

area = 0.5 * base * height

We have:

base = 9 cm

height = 6 cm

Therefore:

area of base = 0.5 * 9 * 6

area of base = 27 cm²

2- getting the volume:

volume of prism = area of base * height of prism

volume of prism = 27 * 14

volume of prism = 378 cm³

Hope this helps :)