The base of pyramid a is a rectangle with a length of 10 meters and a width of 20 meters. the base of pyramid b is a square with 10-meter sides. the heights of the pyramids are the same. the volume of pyramid a is the volume of pyramid b. if the height of pyramid b increases to twice that of pyramid a, the new volume of pyramid b is the volume of pyramid a.

Part 1) The volume of pyramid A is two times the volume of pyramid B

Part 2) The new volume of pyramid B is equal to the volume of pyramid A

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

where

B is the area of the base of pyramid

h is the height of the pyramid

Part 1

The heights of the pyramids are the same

Find the volume of pyramid A

Find the area of the base B

substitute

Find the volume of pyramid B

Find the area of the base B

substitute

Compare the volumes

The volume of pyramid A is two times the volume of pyramid B

Part 2)

If the height of pyramid B increases to twice that of pyramid A

we have that

Find the new volume of pyramid B

we have

substitute

Compare the volumes

The new volume of pyramid B is equal to the volume of pyramid A

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step-by-step explanation: