the volume of the pyramid is 36 cubic cm , find the volume of the prism
Answers
Given :- the volume of the pyramid is 36 cubic cm , find the volume of the prism on same base and same height as pyramid .
Answer :-
we know that,
- Volume of pyramid = (1/3) * Base area * height .
- Volume of prism = Base area * height .
so,
→ Volume of pyramid = 36 cm³
→ (1/3) * Base area * height = 36
→ Base area * height = 36 * 3
→ Base area * height = 108 cm³.
then,
→ Volume of prism = Base area * height .
→ Volume of prism = 108 cm³ (Ans.)
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Given : volume of the pyramid is 36 cubic cm,
To find : the volume of prism
Solution:
Assume that Area of Base of Pyramid and Prism is A
and height is H for both
Volume of Prism = Base area * height
=> Volume of Prism = AH
Volume of Pyramid = (1/3) Base area * height
=> Volume of Pyramid = (1/3) AH
Volume of Pyramid = 36 cubic cm
=> (1/3) AH = 36
=> AH = 36 * 3
=> AH = 108
=> Volume of Prism 108 cubic cm
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