Question

the perimeter of a surface of a cube is 60 cm. find its total surface area.
​

Answer 1

Given:

Perimeter of cube = 60cm.

To Find:

Total surface area of cube?

Step-by-step explanation:

• We have perimeter of cube is given by the formula

• Perimeter of cube=12$\times$side

• Thus,side os cube will be

              [tex]Side=\frac{Perimeter}{12} \\ Side=\frac{60}{12} =5[/tex]

• Total surface area of cube is given by the formula

            $T.S.A=6(side)^2=6(5)^2=150cm^2$

Thus, total surface area of cube will be 150$cm^2$.

Answer 2

Answer:

• Total surface of a cube is 150 cm²

Step-by-step explanation:

Given:

• The perimeter of one face of a cube is 60 cm.

To Find:

• Total surface area.

Solution:

Perimeter of cube = 12 × side

➠ 60 cm = 12 × side

➠ 60/12 = side

➠ side = 5 cm.

• Side of a cube is 5cm.

➠ TSA of cube = 6(5)²

➠ TSA of cube = 6 × (5)²

➠ TSA of cube = 6 × 25

➠ TSA of cube = 150 cm²

Hence,

• Total surface of a cube is 150 cm²