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Cubes and Cube Roots
Sides of the cubiod are 5 cm, 2 cm, 5 cm
∴ Volume of the cubiod = 5 cm x 2 cm x 5 cm
To form is as a cube its dimension should be in the group of triples.
∴ Volume of the required cube = [5 cm x 5 cm x 2 cm] x 5 cm x 2 cm x 2 cm
= [ 5 x 5 x 2 cm3 ] x 20 cm3
Thus, the required number of cubiods = 20.
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Check which of the following are perfect cubes.
(i) 2700 (ii) 16000 (iii) 64000 (iv) 900
(v) 125000 (vi) 36000 (vii) 21600 (viii) 10000
(ix) 27000000 (x) 1000
What pattern do you observe in these perfect cubes?
Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656
Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100
Show that —1728 is a perfect cube. Also, find the number whose cube is – 1728.
Is 216 a perfect cube? What is the number whose cube is 216?
Find the cube root of 1728.
Fint the cube root of 27000 by prime factorisation.
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