The volume of a cube is 729 cm3- Find its surface area-

Let a be the length of the edge of the cube.Then volume nbsp;=a3=729 #160;cm3Also, a=7293=9 #160;cm there4; Surface area=6a2=6 #215;9 #215;9=486 # ...

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Standard VIII

Mathematics

Surface Area of Solid Shapes

The volume of...

Question

The volume of a cube is 729 cm³. Find its surface area.

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Solution

Let a be the length of the edge of the cube.

Then volume $= a^{3} = 729 c m^{3}$

Also, $a = \sqrt[3]{729} = 9 c m$

∴ Surface area $= 6 a^{2} = 6 \times 9 \times 9 = 486 c m^{2}$

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The volume of a cube is 729 cm3. Find its surface area.

Let a be the length of the edge of the cube.Then volume =a3=729 cm3Also, a=7293=9 cm∴ Surface area=6a2=6×9×9=486 cm2

The volume of a cube is 729 cm³. Find its surface area.

Let a be the length of the edge of the cube.

Then volume $= a^{3} = 729 c m^{3}$

Also, $a = \sqrt[3]{729} = 9 c m$

∴ Surface area $= 6 a^{2} = 6 \times 9 \times 9 = 486 c m^{2}$