1. Let us find volume of our right triangular prism.
Since we know that volume of a triangular prism equals to area of base times height of prism.
[tex]\text{ Volume of triangular prism}=b\cdot h[/tex], where b is area of base and h is height of prism.
[tex]\text{ Volume of triangular prism}=\frac{1}{2}\cdot 13 \cdot 6\cdot 5[/tex]
[tex]\text{ Volume of triangular prism}=13 \cdot 3\cdot 5[/tex]
[tex]\text{ Volume of triangular prism}=195[/tex]
Therefore, volume of our triangular prism is 195 cubic meters and option B is the correct choice.
2. Let us find equation for volume of our given cuboid.
[tex]\text{Volume of cuboid}=\text{Length} \times\text{Breadth}\times \text{Width}[/tex]
[tex]\text{Volume of cuboid}=2 \times 4\times 5[/tex]
Therefore, our equation will be [tex]v=2 \times 4\times 5[/tex] and option A is the correct choice.
3. Let us find volume of box (cuboid) at the post office.
[tex]\text{Volume of box}=\text{Length} \times\text{Breadth}\times \text{Width}[/tex]
[tex]\text{Volume of box}=16 in \times 8in \times 12 in[/tex]
[tex]\text{Volume of box}=1536\text{ inch}^{3}[/tex]
Therefore, volume of box will be 1536 cubic inches and option B is the correct choice.
4. Let us find volume of Matti's greenhouse, which is a triangular prism.
Since we know that volume of a triangular prism equals to area of base times height of prism.
[tex]\text{ Volume of triangular prism}=b\cdot h[/tex]
[tex]\text{ Volume of triangular prism}=\frac{1}{2}\cdot 7 \cdot 7\cdot 15[/tex]
[tex]\text{ Volume of triangular prism}=\frac{1}{2}\cdot 735[/tex]
[tex]\text{ Volume of triangular prism}=367.5[/tex]
Therefore, volume of Matti's green house will be 367.5 cubic feet and option B is the correct choice.
5. Let us find volume of our right triangular prism.
Since we know that volume of a triangular prism equals to area of base times height of prism.
[tex]\text{ Volume of right triangular prism}=b\cdot h[/tex]
[tex]\text{ Volume of right triangular prism}=\frac{1}{2}\cdot 11 \cdot 6.2\cdot 9[/tex]
[tex]\text{ Volume of right triangular prism}=11 \cdot 3.1\cdot 9[/tex]
[tex]\text{ Volume of right triangular prism}=306.9[/tex]
Therefore, volume of our right triangular prism will be 306.9 cubic meters and option C is the correct choice.