Question

My question is a cube shape jewelry box has a surface area of 300 square inches. What are the dimensions of the jewelry box?

-write an algebraic expression to find the total surface area of a cube. What is the surface area of one side of the cube?
-How is the side length of a square related to it's area?

Answer 1

cube surface area
cube is made of 6 identical square faces
area of square=side^2

so area=6(side^2)

300=6(side^2)
divide by 6
50=side^2=area of 1 side
sqrt both sides
5√2=side

SA=6(s^2) is equation

the surface area of 1 side=50 in^2
the legnth of the side of 1 square it the lenth of any side squared