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Question

Find the volume lateral surface area and total surface area of a cube each of whose edges measure.
1) 7 m
2) 8 dm 5 cm

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Solution

Dear Student,

For a cube of side length 'a'
Volume of cube = a³
Lateral surface area = 4a²
Total surface area = 6a²

1) a = 7m
Volume of cube = a³ = 7³ = 343m²
Lateral surface area = 4a² = 4×7² = 196m²
Total surface area = 6a² = 6×7² = 294m²

2) a= 8dm 5cm = 80+5 cm = 85cm
Volume of cube = a³ = 85³ = 614125cm³
Lateral surface area = 4a² = 4×85² = 28900cm²
Total surface area = 6a² = 6×85² = 43350cm²

Regards

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