Find the lateral area of the regular prism with height h, if the base of the prism is: Equilateral triangle with the side 4 cm and h=2.5 cm
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30cm^2 is the lateral area of the prism.
Step-by-step explanation:
Given that,
side of the equilateral triangle = 4cm
h = 2.5 cm
As we know all three sides of an equilateral triangle are equal, all the bases of the prism would be of equal length.
So,
Lateral area of the prism = Perimeter of the base * height
The perimeter of the base comprising the equilateral triangle = side + side + side
∵ Lateral area of the prism = (side + side + side) * height
= (4cm + 4cm + 4cm) * 2.5
= 12 * 2.5 cm
= 30 cm^2
Thus, 30 cm^2 is the lateral area of the regular prism.
Learn more: Regular prism
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Answer: 30
Step-by-step explanation:
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