129k views
2 votes
Activity In this activity, you will compare the volume of a cube with the volume of a pyramid that has the same base and height as the cube to find how the volumes are related. Go to volume of a cube and volume of a pyramid, and complete each step below. Question 1 Drag the orange point on the cube to change its side length. Then set the base of the pyramid to the same dimensions as a face on the cube. Also set the height of the pyramid to the same side length as the cube. Note the volumes of the cube and the pyramid. Record the volumes for a few sets of heights and bases, and then calculate the ratio of the volumes. Be sure the dimensions for the cube and the pyramid are the same in each set. (You might see some discrepancies in the tool due to rounding of decimals.) Round your calculations for the ratio to the hundredths place. The first one has been done for you.

User Egekhter
by
7.9k points

1 Answer

3 votes

Step-by-step explanation:

Set 1:

Cube Side Length: 4

Cube Volume: 64

Pyramid Base: 4

Pyramid Height: 4

Pyramid Volume: 32

Ratio: 64:32 = 2:1

Set 2:

Cube Side Length: 6

Cube Volume: 216

Pyramid Base: 6

Pyramid Height: 6

Pyramid Volume: 108

Ratio: 216:108 = 2:1

Set 3:

Cube Side Length: 8

Cube Volume: 512

Pyramid Base: 8

Pyramid Height: 8

Pyramid Volume: 256

Ratio: 512:256 = 2:1

User Robin Vessey
by
7.6k points