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Sum

Find the volume and total surface area of a cube whose each edge is :

(i) 8 cm

(ii) 2 m 40 cm.

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#### Solution

**(i) **

Edge of the given cube = 8 cm

Volume of the given cube = (Edge)^{3} = (8)^{3} = 8 x 8 x 8 = 512 cm^{3}

Total surface area of a cube = 6(Edge)^{2} = 6 x (8)^{2} = 384 cm^{2}

**(ii) **

Edge of the given cube = 2 m 40 cm = 2.40 m

Volume of a cube = (Edge)^{3}

Volume of the given cube = (2.40)^{3} = 2.40 x 2.40 x 2.40 = 13.824 m^{2}

Total surface area of the given cube = 6 x 2.4 x 2.4 = 34.56 m^{2}

Concept: Surface Area of a Cuboid

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