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The diagram shows a pyramid whose base is a regular pentagon of area 42 cm2 and whose height is 7 cm. What is the volume of the pyramid?

Answer 1

Jayden Jackson

#98 cm^3#

Volume of a pyramid #V=1/3*A*h# where #A# is the area of the base and #h# is the height of the pyramid.

Given #A=42 cm^2, and h=7 cm#, #=> V=1/3*42*7=98 cm^3#

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Answer 2

James Atkins

To find the volume of the pyramid, we use the formula:

[ Volume = \frac{1}{3} \times Base : Area \times Height ]

Given that the base is a regular pentagon with an area of 42 cm² and the height of the pyramid is 7 cm, we substitute these values into the formula:

[ Volume = \frac{1}{3} \times 42 : cm² \times 7 : cm ]

[ Volume = \frac{1}{3} \times 294 : cm³ ]

[ Volume = 98 : cm³ ]

Therefore, the volume of the pyramid is 98 cubic centimeters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.