Question

find the volume of the figure below. as you can see my teacher has already gaved the answer now she wants me to show how she got the answer.

Answer 1

The volume of any solid is the product of the base area and the height

`V=b\mathrm{}A* h`

Let us find the area of the base of the given figure and multiply it by the height

The base is a right triangle of legs 9 mm and 26 mm, then its area is

`\begin{gathered} b\mathrm{}A=(1)/(2)*9*26 \\ b\mathrm{}A=177mm^2 \end{gathered}`

The height of the solid is 24 mm, then

`\begin{gathered} V=177*24 \\ V=2808mm^3 \end{gathered}`

The volume of the figure is 2808 cubic mm

Answer C