The volume of a cube is 512 cm 3- Find its surface area-

Suppose that the side of the given cube is x cm. Volume of the cube = 512 cm3 Then #160;512 #160;=x3 #8658;x #160;=5123 #160;=8i.e., #160;the #160 ...

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Standard IX

Mathematics

Volume of Cube

The volume of...

Question

The volume of a cube is 512 cm³. Find its surface area.

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Solution

Suppose that the side of the given cube is x cm.
Volume of the cube = 512 cm³
$Then 512 = x^{3} \Rightarrow x = \sqrt[3]{512} = 8 i . e ., the side of the cube is 8 cm .$

∴ Surface area of the cube = $6 x^{2} {cm}^{2} = 6 \times 8^{2} {cm}^{2} = 384 {cm}^{2}$

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The volume of a cube is 512 cm3. Find its surface area.

Suppose that the side of the given cube is x cm. Volume of the cube = 512 cm3 Then 512 =x3⇒x =5123 =8i.e., the side of the cube is 8 cm. ∴ Surface area of the cube = 6x2 cm2=6×82 cm2=384 cm2

The volume of a cube is 512 cm³. Find its surface area.

Suppose that the side of the given cube is x cm.
Volume of the cube = 512 cm³
$Then 512 = x^{3} \Rightarrow x = \sqrt[3]{512} = 8 i . e ., the side of the cube is 8 cm .$

∴ Surface area of the cube = $6 x^{2} {cm}^{2} = 6 \times 8^{2} {cm}^{2} = 384 {cm}^{2}$