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3. What is the volume of the regular pyramid?

3 What Is The Volume Of The Regular Pyramid class=

Sagot :

Answer:  80 cubic meters (choice B)

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Explanation:

The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.

Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.

We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume

volume = (1/3)*(area of floor)*(height of pyramid)

volume = (1/3)*(30)*(8)

volume = 10*8

volume = 80 cubic meters

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