## naturalwoman75 one year ago Which calculation will give the total surface area of the solid figure?

1. naturalwoman75

2. anonymous

@naturalwoman75 wat do u think it is

3. naturalwoman75

I thought it was 6 x 5

4. anonymous

In order to find the surface area of a solid object you have to find the combined "area" of each side (surface) the object has. In this case the figure folds into a cube with equal side-lengths all around. A cube has six sides, and we need to find the area of individual sides and then add them all up. So, the equation would be Surface Area of Cube= 6(5x5).

5. anonymous

or (5x5) added up six times.

6. anonymous

For 1 square we have $A=5\times5=5^2$ For 2 squares we have $A_{2}=A+A=2A=2(5^{2})$ Thus for 6 squares we have $A_{6}=6(5^{2})$ You can also think of this as a net for a cube(what I mean by that is basically your figure is just a cube that has been unpacked, or it's sides have been opened) But for a cube we know that total surface area is given by $A_{cube}=6a^{2}$ where a is your side This gives the same result when a=5