Video: Finding the Volume of Pyramids

If the base area of the shown solid is 1970 cm², determine, to the nearest tenth, its volume.

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Video Transcript

If the base area of the shown solid is 1970 square centimeters, determine, to the nearest tenth, its volume.

The volume of any pyramid is calculated using the formula one- third multiplied by the base area multiplied by the height. In this case, the base area is 1970 and the height of the pyramid is 25 centimeters.

This means that we can work out the volume by multiplying one-third by 1970 by 25. Typing this into the calculator gives us an answer of 16416.666.

However, as we were asked to calculate the volume to the nearest tenth, our answer is 16416.7 cubic centimeters. Therefore, a pyramid with base area 1970 square centimeters and height 25 centimeters will have a volume of 16416.7 cubic centimeters.

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