Question

Find the volume of a cube whose surface area is 150 m²​

Answer 1

Answer:

The surface area of cube is given as 6a² = 150 cm²

a² = $\frac{15}{6}$

a²   = 25

a = √25

a = 5 cm

The volume of cube is given as a³ 3=5×5×5=125cm³.

Answer 2

$\huge\underline{\bf{Given}}$

• Surface area of a cube = 150 m².

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$\huge\underline{\bf{To\: Find}}$

• Volume of that cube.

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$\huge\underline{\bf{Solution}}$

• Let the side of cube be x.
• To find the volume of cube, we have to calculate the sides of cube by using the formula of surface area of cube.

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★ We know that

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf{\bigstar{Surface\: Area = 6a^2{\bigstar}}}}$

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$\tt\longmapsto{6a^2 = 150}$

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$\tt\longmapsto{a^2 = \dfrac{150}{6}}$

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$\tt\longmapsto{a^2 = 25}$

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$\tt\longmapsto{a = \sqrt{25}}$

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$\tt\longmapsto{a = 5}$

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※ We get side(a) = 5 m.

★ Now, as we know that

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf{\bigstar{Volume = a^3{\bigstar}}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Volume = (5)^3}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Volume = 125}$

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Hence, Volume of the cube is 125 m³.

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