Respuesta :
Answer:
As Per Provided Information
We have been asked to determine the volume of triangular Prism . Volume of Triangular Prism is calculated by using the following formula
[tex] \bf \: Volume_{(Triangular~Prism)} = \cfrac{1}{2} \times b \: \times h \times l [/tex]
Substitute the given value and let's calculate the volume of cabinet .
[tex] \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \cfrac{1}{2} \times 14 \times 22 \times 67.5 \: \: \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \frac{1}{ \cancel2} \times \cancel14 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 7 \times 22 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = \: 154 \times 67.5 \: \: \\ \\ \\ \sf \: \longrightarrow Volume_{(Triangular~Prism)} \: = 10395 {cm}^{3} [/tex]
Therefore,
- Volume of the Triangular Prism Cabinet is 10395 cm³.
