Respuesta :
Answer:
The volume of the solid is either 346.5 in³ or 693 in³.
Step-by-step explanation:
The solid can either be a triangular prism or a rectangular cube.
- Consider the solid as a triangular prism.
The volume of a triangular prism is:
[tex]V=(\frac{B\times H}{2})\times L[/tex]
Here,
B = base
H = height
L = length
Let,
B = 7 in
H = 9 in
L = 11 in
Compute the volume of a triangular prism as follows:
[tex]V=(\frac{B\times H}{2})\times L[/tex]
[tex]=(\frac{7\times 9}{2})\times11\\\\=346.5\ \text{in}^{3}[/tex]
Thus, the volume of a triangular prism is 346.5 in³.
- Consider the solid as a rectangular cube.
The volume of a rectangular cube is:
[tex]V=L\times B\times H[/tex]
The values of L, B and H remains the same as above.
Compute the volume of a rectangular cube as follows:
[tex]V=L\times B\times H[/tex]
[tex]=11\times 7\times 9\\=693\ \text{in}^{3}[/tex]
Thus, the volume of a rectangular cube is 693 in³.
