Question

Find the volume of the composite figure first, find the volume of the triangular prism

Answer 1

`\begin{gathered} V\text{ \lparen triangular prism\rparen = }(1)/(2)ac\left(h\right) \\ V\text{ = }(1)/(2)\left(5\text{ x 4\rparen \lparen5\rparen}\right? \\ V=(20\left(5\right))/(2) \\ V\text{ = 50cm}^3 \end{gathered}`
`\begin{gathered} V\text{ \lparen rectangular prism\rparen = l x w x h} \\ V=\text{ 8\lparen10\rparen\lparen6\rparen} \\ V=480\text{ cm}^3 \end{gathered}`

Total volume of composite figure= V(triangular prism) + V(rectangular prism) = 50 + 480

= 530 cm^3