Question

Find the volume of the composite space figure to the right to the nearest whole number . The volume of the figure is _ cm3 .(Simplify your answer .)

Answer 1

The volume of the figure can be calculate by dividing the figure into 2 regular prisms.

Calculate the volume for each prism and add them together

for the prism to the left

`\begin{gathered} V=l\cdot w\cdot h \\ V=3\cdot10\cdot7 \\ V=210c^{}m^3 \end{gathered}`

For the prism to the right

`\begin{gathered} V=l\cdot w\cdot h \\ V=6\cdot10\cdot3 \\ V=180cm^3 \end{gathered}`

The total volume is the addition of both volumes

`\begin{gathered} Vt_{}=180cm^3+210cm^3 \\ Vt=390cm^3 \end{gathered}`