Question

What is the volume of the figure below?​

Answer 1

`\large\boxed{V=180\ cm^3}`

Explanation:

The formula of a volume of a pyramid:

`V=(1)/(3)A_BH`

`A_B-area\ of\ a\ base\\H-height`

In the base we have the right teingle with legs 5cm and 12cm.

The formula of an area of a right triangle:

`A=(1)/(2)(leg)(leg)`

Substitute:

`A_B=(1)/(2)(5)(12)=(5)(6)=30\ cm^2`

The height of a pyramid H = 18 cm. Substitute:

`V=(1)/(3)(30)(18)=(10)(18)=180\ cm^3`