Question

Find the difference between the total surface area and the lateral surface
area of a cube whose edge is 10 cm​

Answer 1

Given:-

• Edge of cube is 10 cm.

To find:-

• Difference between the total surface area and Lateral surface area of cube.

Solution:-

• We need Total surface area of cube and Lateral surface area of cube for there difference.So,

We know that,

◆Total surface area of cube = 6a²◆

In which,

• a is Edge of cube.

Put edge of cube in formula,

⇒6×(10)²

⇒6 × 100

⇒600 cm²

And Formula for Lateral surface area of cube is

◆ Lateral surface area of cube = 4a²◆

In which,

• a is Edge of cube.

Put edge in formula,

⇒4×(10)²

⇒4×100

⇒400 cm²

Difference = Total surface area of cube - Lateral surface area of cube.

⇒600 - 400

⇒200 cm²

Therefore,

Difference of Total surface area and Lateral surface area of cube is 200 cm².

Answer 2

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┗─━─━─━─━∞◆∞━─━─━─━─┛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Given :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Edge of cube = 10cm

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

To Find :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Difference between T.S.A and L.S.A of cube

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution :

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Total Surface area = 6 × side^2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf \implies6 \times {10}^{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf\implies6 \times 100$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf \implies600 {cm}^{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Lateral Surface area = 4 × side^2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf \implies4 \times {10}^{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf\implies4 \times 100$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf \implies400 {cm}^{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Difference = Total Surface area - Lateral Surface area

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf = {600cm}^{2} - {400cm}^{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\bf = {200cm}^{2}$

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Therefore, difference between the total surface area and the lateral surface area is 200cm^2.