The volume of a shape is the amount of space in it.
The volume of the building is [tex]180m^3[/tex]
The given parameters are:
Rectangular prism
[tex]Length = 3m; Width = 8m; Height = 5m[/tex]
Triangular Prism
[tex]Base = 3m; Horizontal\ Height= 8m; Vertical\ Height = 5m[/tex]
The volume of the rectangular prism is:
[tex]V_1 = Length \times Width \times Height[/tex]
[tex]V_1 = 3m \times 8m \times 5m[/tex]
[tex]V_1 = 120m^3[/tex]
The volume of the triangular prism is:
[tex]V_2 = \frac 12 \times Base \times Horzontal \times Vertical\ Height[/tex]
[tex]V_2 = \frac 12 \times 3m \times 8m \times 5m[/tex]
[tex]V_2 =60m^3[/tex]
So, the volume of the building is:
[tex]V = V_1 + V_2[/tex]
[tex]V = 120m^3 + 60m^3[/tex]
[tex]V = 180m^3[/tex]
Hence, the volume of the building is [tex]180m^3[/tex]
Read more about volumes at:
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