Respuesta :
Answer:
[tex]168\text{ cm}^{3}[/tex]
Step-by-step explanation:
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.
The volume of our given oblique hexagonal prism will be 168 cubic centimeters.
Since we know that volume of a prism can be found by multiplying the base area of the prism by the height of the prism.
What is the formula of the prism?
The volume of prism=base area×height of the prism
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 the volume formula of the prism.
The volume of the hexagonal prism=42cm^2×4cm
The volume of the hexagonal prism=168cm^2
Therefore, the volume of our given oblique hexagonal prism will be 168 cubic centimeters.
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