Question

The world's largest cube puzzle is in knoxville tennessee. It measures 6 feet on each side. The scale factor between a standard cube puzzle and the largest puzzle is 1/24. Find the surface area and volume of the standard cube puzzle

Answer 1

0.375 ft²

0.15625ft³

Explanation:

To find the surface area and the volume of the standard cube, we first need to convert the measurements of the largest cube to a 1/24 scale.

Side = 6 x
`(1)/(24)`

Side = 0.25 ft

Now to solve for the surface area of the cube, we use the formula:

SA = 6a²

a = 0.25

SA = 6(0.25)²

SA = 6(0.0625)

SA = 0.375 ft²

Now to solve for the volume, we use the formula:

V = a³

V = 0.25³

V = 0.15625ft³