Question

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.

Answer 1

Answer:

378

Step-by-step explanation:

9*6=54 then 54/2=27. fnally 27*14=378

Answer 2

Based on the calculations, the volume of this right prism is equal to 378 cm³.

Given the following data:

• Height = 14 cm.

• Altidue (HA) = 6 cm.

• Length of side AB = 9 cm.

The volume of a right prism.

Mathematically, the volume of a right prism is given by this formula:

Volume = base area × height

Next, we would determine the area of the triangle (∆ABC) at the base of the right prism as follows:

Base area = 1/2 × ( 9 × 6)

Base area = 1/2 × 54

Base area = 27 cm².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 27 × 14

Volume = 378 cm³.

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