Page 1 Q u e s t i o n : 1 Evaluate: i 8 3 ii 15 3 iii 21 3 iv 60 3 S o l u t i o n : i 8 3 = (8 ×8 ×8) = 512. Thus, the cube of 8 is 512. ii 15 3 = (15 ×15 ×15) = 3375. Thus, the cube of 15 is 3375. iii 21 3 = (21 ×21 ×21) = 9261. Thus, the cube of 21 is 9261. iv 60 3 = (60 ×60 ×60) = 216000. Thus, the cube of 60 is 216000. Q u e s t i o n : 2 Evaluate: i 1.2 3 ii 3.5 3 iii 0.8 3 iv 0.05 3 S o l u t i o n : i Page 2 Q u e s t i o n : 1 Evaluate: i 8 3 ii 15 3 iii 21 3 iv 60 3 S o l u t i o n : i 8 3 = (8 ×8 ×8) = 512. Thus, the cube of 8 is 512. ii 15 3 = (15 ×15 ×15) = 3375. Thus, the cube of 15 is 3375. iii 21 3 = (21 ×21 ×21) = 9261. Thus, the cube of 21 is 9261. iv 60 3 = (60 ×60 ×60) = 216000. Thus, the cube of 60 is 216000. Q u e s t i o n : 2 Evaluate: i 1.2 3 ii 3.5 3 iii 0.8 3 iv 0.05 3 S o l u t i o n : i 1.2 3 = (1. 2 ×1. 2 ×1. 2) = 1.728 Thus, the cube of 1.2 is 1.728. ii 3.5 3 = (3. 5 ×3. 5 ×3. 5) = 42.875 Thus, the cube of 3.5 is 42.875. iii 0.8 3 = (0. 8 ×0. 8 ×0. 8) = 0.512 Thus, the cube of 0.8 is 0.512. iv 0.05 3 = (0. 05 ×0. 05 ×0. 05) = 0.000125 Thus, the cube of 0.05 is 0.000125. Q u e s t i o n : 3 Evaluate: i 4 7 3 ii 10 11 3 iii 1 15 3 iv 1 3 10 3 S o l u t i o n : i ( 4 7 ) 3 = ( 4 7 × 4 ( ) ( ) ( ) ( ) Page 3 Q u e s t i o n : 1 Evaluate: i 8 3 ii 15 3 iii 21 3 iv 60 3 S o l u t i o n : i 8 3 = (8 ×8 ×8) = 512. Thus, the cube of 8 is 512. ii 15 3 = (15 ×15 ×15) = 3375. Thus, the cube of 15 is 3375. iii 21 3 = (21 ×21 ×21) = 9261. Thus, the cube of 21 is 9261. iv 60 3 = (60 ×60 ×60) = 216000. Thus, the cube of 60 is 216000. Q u e s t i o n : 2 Evaluate: i 1.2 3 ii 3.5 3 iii 0.8 3 iv 0.05 3 S o l u t i o n : i 1.2 3 = (1. 2 ×1. 2 ×1. 2) = 1.728 Thus, the cube of 1.2 is 1.728. ii 3.5 3 = (3. 5 ×3. 5 ×3. 5) = 42.875 Thus, the cube of 3.5 is 42.875. iii 0.8 3 = (0. 8 ×0. 8 ×0. 8) = 0.512 Thus, the cube of 0.8 is 0.512. iv 0.05 3 = (0. 05 ×0. 05 ×0. 05) = 0.000125 Thus, the cube of 0.05 is 0.000125. Q u e s t i o n : 3 Evaluate: i 4 7 3 ii 10 11 3 iii 1 15 3 iv 1 3 10 3 S o l u t i o n : i ( 4 7 ) 3 = ( 4 7 × 4 ( ) ( ) ( ) ( ) 7 × 4 7 ) = ( 64 343 ) Thus, the cube of ( 4 7 ) is ( 64 343 ) . (ii) ( 10 11 ) 3 = ( 10 11 × 10 11 × 10 11 ) = ( 1000 1331 Page 4 Q u e s t i o n : 1 Evaluate: i 8 3 ii 15 3 iii 21 3 iv 60 3 S o l u t i o n : i 8 3 = (8 ×8 ×8) = 512. Thus, the cube of 8 is 512. ii 15 3 = (15 ×15 ×15) = 3375. Thus, the cube of 15 is 3375. iii 21 3 = (21 ×21 ×21) = 9261. Thus, the cube of 21 is 9261. iv 60 3 = (60 ×60 ×60) = 216000. Thus, the cube of 60 is 216000. Q u e s t i o n : 2 Evaluate: i 1.2 3 ii 3.5 3 iii 0.8 3 iv 0.05 3 S o l u t i o n : i 1.2 3 = (1. 2 ×1. 2 ×1. 2) = 1.728 Thus, the cube of 1.2 is 1.728. ii 3.5 3 = (3. 5 ×3. 5 ×3. 5) = 42.875 Thus, the cube of 3.5 is 42.875. iii 0.8 3 = (0. 8 ×0. 8 ×0. 8) = 0.512 Thus, the cube of 0.8 is 0.512. iv 0.05 3 = (0. 05 ×0. 05 ×0. 05) = 0.000125 Thus, the cube of 0.05 is 0.000125. Q u e s t i o n : 3 Evaluate: i 4 7 3 ii 10 11 3 iii 1 15 3 iv 1 3 10 3 S o l u t i o n : i ( 4 7 ) 3 = ( 4 7 × 4 ( ) ( ) ( ) ( ) 7 × 4 7 ) = ( 64 343 ) Thus, the cube of ( 4 7 ) is ( 64 343 ) . (ii) ( 10 11 ) 3 = ( 10 11 × 10 11 × 10 11 ) = ( 1000 1331 ) Thus, the cube of ( 10 11 ) is ( 1000 1331 ) . (iii) ( 1 15 ) 3 = ( 1 15 × 1 15 × 1 15 ) = ( 1 3375 ) Thus, the cube of ( 1 15 ) is Page 5 Q u e s t i o n : 1 Evaluate: i 8 3 ii 15 3 iii 21 3 iv 60 3 S o l u t i o n : i 8 3 = (8 ×8 ×8) = 512. Thus, the cube of 8 is 512. ii 15 3 = (15 ×15 ×15) = 3375. Thus, the cube of 15 is 3375. iii 21 3 = (21 ×21 ×21) = 9261. Thus, the cube of 21 is 9261. iv 60 3 = (60 ×60 ×60) = 216000. Thus, the cube of 60 is 216000. Q u e s t i o n : 2 Evaluate: i 1.2 3 ii 3.5 3 iii 0.8 3 iv 0.05 3 S o l u t i o n : i 1.2 3 = (1. 2 ×1. 2 ×1. 2) = 1.728 Thus, the cube of 1.2 is 1.728. ii 3.5 3 = (3. 5 ×3. 5 ×3. 5) = 42.875 Thus, the cube of 3.5 is 42.875. iii 0.8 3 = (0. 8 ×0. 8 ×0. 8) = 0.512 Thus, the cube of 0.8 is 0.512. iv 0.05 3 = (0. 05 ×0. 05 ×0. 05) = 0.000125 Thus, the cube of 0.05 is 0.000125. Q u e s t i o n : 3 Evaluate: i 4 7 3 ii 10 11 3 iii 1 15 3 iv 1 3 10 3 S o l u t i o n : i ( 4 7 ) 3 = ( 4 7 × 4 ( ) ( ) ( ) ( ) 7 × 4 7 ) = ( 64 343 ) Thus, the cube of ( 4 7 ) is ( 64 343 ) . (ii) ( 10 11 ) 3 = ( 10 11 × 10 11 × 10 11 ) = ( 1000 1331 ) Thus, the cube of ( 10 11 ) is ( 1000 1331 ) . (iii) ( 1 15 ) 3 = ( 1 15 × 1 15 × 1 15 ) = ( 1 3375 ) Thus, the cube of ( 1 15 ) is ( 1 3375 ) (iv) 1 3 10 3 = ( 13 10 ) 3 = ( 13 10 × 13 10 × 13 10 ) = ( 2197 1000 ) Thus, the cube of 1 3 10 is ( 2197 1000 ) . Q u e s t i o n : 4 Which of the following numbers are perfect cubes? In case of perfect cube, find the number whose cube is the given number. i 125 ii ( ) ( )Read More

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