Answer:
[tex]168\text{ cm}^3[/tex]
Step-by-step explanation:
We have been given that an oblique hexagonal prism has a base area of 42 square cm. The prism is 4 cm tall and has an edge length of 5 cm.
We know that volume of oblique hexagonal prism is area of base times height of the prism.
The edge of the prism would be slant height.
[tex]\text{Volume of hexagonal prism}=42\text{ cm}^2\times 4\text{ cm}[/tex]
[tex]\text{Volume of hexagonal prism}=168\text{ cm}^3[/tex]
Therefore, the volume of the hexagonal prism would be 168 cubic centimeters.