Question

The total surface area of a cube is 2400sq.cm.what is its length​

Answer 1

★ Given :

• Total surface Area of Cube is 2400 cm²

★ To find :

• Length of the sides of the cube.

★ Solution :

• In the question Total surface area of cube is given. So, By the formula of Total surface area of Cube , we will put the values And find the length of side of the Cube.

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Let's Find out...!

Total surface area = 6a²

➤ 2400 = 6 × (a)²

➤ 2400/6 = (a)²

➤ 400 = (a)²

➤ a = √400

➤ a = 20 cm

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Verification...!

Total surface area = 6a²

➯6 × (20)²

➯ 6 × 400

➯ 2400 cm²

∴ The length of cube is 20 cm.

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Answer 2

Given :

• The Total Surface Area of a Cube is 2400cm²

To Find :

• Length of its Side.

Solution :

✰ As we know that, Total Surface Area of Cube is given by 6 × (side)². Now in this question Total Surface Area of cube is given and we have to find the length of its side. So simply we will put the given values in the formula to find the Length of its Side.

⠀⠀

⠀⠀⠀⟼⠀⠀⠀TSA of Cube = 6 × (side)²

⠀⠀⠀⟼⠀⠀⠀2400 = 6 × (side)²

⠀⠀⠀⟼⠀⠀⠀2400/6 = (side)²

⠀⠀⠀⟼⠀⠀⠀400 = (side)²

⠀⠀⠀⟼⠀⠀⠀√400 = side

⠀⠀⠀⟼⠀⠀⠀20cm = side

⠀

Thus Side of the Cube is 20cm

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★ Additional Info :

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

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