Question

the volume of the cube is 1000 cm³ total surface area. Find its total surface area​

Answer 1

Given:-

• Volume of the cube = 1000 cm³

To Find:-

• Total Surface Area or TSA

Formula used:-

• Volume of cube = (Side)³ or a³

1. Total Surface Area of Cube = 6a²

Solution:-

⇒ Volume of Cube = a³

⇒ 1000 = a³

⇒ $a = \sqrt[3]{1000}$

⇒ a = 10 cm

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⇒ Total Surface Area = 6a²

⇒ Total Surface Area = 6 × (10)²

⇒ Total Surface Area = 600 cm²

Hence, The Total Surface Area of Cube is 600 cm².

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Answer 2

Answer

A≈600cm²

Using the formulas

A=6a2

V=a3

Solving forA

A=6V⅔=6·1000⅔≈600cm²