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Find the volume, the lateral surface area, the total surface area and the diagonal of a cube, each of whose edges measures 9m. (Take √3 = 1.73) |
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Answer» It is given that each edge of a cube = 9m We know that Volume of cube = a3 By substituting the values Volume of cube = 93 So we get Volume of cube = 729 m3 We know that Lateral surface area of cube = 4a2 By substituting the values Lateral surface area of cube = 4 × 92 So we get Lateral surface area of cube = 4 × 81 = 324 m2 We know that Total surface area of cube = 6a2 By substituting the values Total surface area of cube = 6 × 92 So we get Total surface area of cube = 6 × 81 = 486 m2 We know that Diagonal of cube = √3 a By substituting the values Diagonal of cube = 1.73 × 9 = 15.57 m Therefore, the volume is 729 m3, lateral surface area is 324 m2, total surface area is 486 m2 and the diagonal of cube is 15.57 m. |
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