Select the correct answer from each drop-down menu. 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.

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Step-by-step explanation:

Given:

Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.

Pyramid B: Base is square with 10 meter sides.

Heights are the same.

Volume of rectangular pyramid = (L * W * H) / 3

Volume of square pyramid = a² * h/3

Let us assume that the height is 10 meters.

V of rectangular pyramid = (10m * 20m * 10m)/3 = 2000/3 = 666.67 m³

V of square pyramid = (10m)² * 10/3 = 100m² * 3.33 = 333.33 m³

The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),  

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.

1. twice

2. equal to

Step-by-step explanation:

area of base of pyramid A is 200

area of base of pyramid B is 100

the heights are the same so just focus on these numbers.

200 is TWICE of 100

if the height doubled on pyramid B, both pyramids would now be EQUAL TO each other