Q:

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.what is the volume of the prism?

Accepted Solution

A:
Answer:[tex]168\text{ cm}^{3}[/tex]Step-by-step explanation: Β  Β  Since we know that volume of a prism can be found by multiplying the base area of prism by height of prism. [tex]\text{Volume of prism}=\text{Base area}\times \text{Height of the prism}[/tex] Since our prism is an oblique hexagonal prism so our height will be 4 cm and 5 cm will be lateral side. Now let us substitute our given values in volume formula of the prism.[tex]\text{Volume of oblique hexagonal prism}=42\text{ cm}^{2}\times 4\text{ cm}[/tex][tex]\text{Volume of oblique hexagonal prism}=168\text{ cm}^{3}[/tex]Therefore, the volume of our given oblique hexagonal prism will be 168 cubic centimeters.