Question

Find the volume of the following figure.1.5m2.5 m6 m

Answer 1

Start by dividing the figure into 2 prisms

calculate the volume for both independently.

For the rectangular prism

`V=l\cdot w\cdot h`

then,

`\begin{gathered} V=2\cdot2.5\cdot1.5 \\ V=7.5m^3 \end{gathered}`

For the triangular prism

`V=(1)/(2)l\cdot h\cdot w`

then,

`\begin{gathered} V=(1)/(2)\cdot1.5\cdot4\cdot2.5 \\ V=7.5m^3 \end{gathered}`

Add both volumes together

`\begin{gathered} V_t=7.5m^3+7.5m^3 \\ V_t=15m^3 \end{gathered}`