Question

A Cube has a volume of 125mm squared 3, Calculate the surface area of the cube

Answer 1

Answer:#150 square inches

Step-by step Explanation:

A cube has 6 square faces.

and it's volume = lbh where l ,b and h represent the length , breadth and height of the cube , respectively.

Since in a cube , the dimensions are equal, l = b = h, the volume can be written.

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

v

o

l

u

m

e

=

l

3

a

a

∣

∣

−−−−−−−−−−−−−−−  

Now the volume = 125  

⇒

l

3

=

125

⇒

l

=

3

√

125

=

5

Surface area is the sum of the area of all 6 faces.

area of 1 face  

=

5

×

5

=

25

square inches

⇒

surface area

=

25

×

6

=

150

square inches