A candy store called "Sugar" built a giant hollow sugar
cube out of wood to hang above the entrance to their
store. It took 54 feet of material to build the cube.
What is the volume inside the giant sugar cube?

27‬ cubic ft

Step-by-step explanation:

The formula for volume is Base * Height * Width;

and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

54 ft / 6 walls = 9 ft per wall

With the area of each wall you can find the base and height:

base * height =  area

base = height b*h b*b=area b^2 = area ... b = sqrt(area)

b = sqrt(9) = 3

base = 3ft

height = 3ft

since: base=height=width

width = 3ft

volume = 3 * 3 * 3 = 3^3 = 27 ft^3

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

x = 3 ± √(5+y)