Question

find the lateral surface area and the total surface area of a cube each of whose edge measures (a) 7 cm (b) 8 dm 5 cm

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Answer 1

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(a) 7 cm

Total surface area of a cube = $6{a}^{2}$

》TSA = $6\times {7}^{2}$

》TSA = 294 ${cm}^{2}$

Lateral surface area of cube = $4{a}^{2}$

》LSA = $4\times {7}^{2}$

》LSA = 196 ${cm}^{2}$

(b) 8 dm 5 cm

8 dm 5 cm = 85 cm

Total surface area of a cube = $6{a}^{2}$

》TSA = $6\times {85}^{2}$

》TSA = 43350 ${cm}^{2}$

Lateral surface area of cube = $4{a}^{2}$

》LSA = $4\times {85}^{2}$

》LSA = 28900 ${cm}^{2}$

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Answer 2

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1) LSA of the cube

= 4a²

= (4 × 7²) cm²

= (4 × 49) cm²

= 196 cm²

TSA of the cube

= 6a²

= (6 × 7²) cm²

= (6 × 49) cm²

= 294 cm²

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2) 8dm 5 cm = 85 cm

LSA of the cube

= 4a²

= (4 × 85²) cm²

= (4 × 7225) cm²

= 28900 cm²

TSA of the cube

= 6a²

= (6 × 85²) cm²

= (6 × 7225) cm²

= 43350 cm²

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