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Find the cube root of 15625 by prime factorisation method.

Solution We have to find the cube root of 15625 by prime factorisation method 15625 = (5×5×5)×(5×5×5) By... View Article

Find the cube root of 27000 by prime factorisation method.

Solution We have to find the cube root of 27000 by prime factorisation method 27000... View Article

Find the cube root of 10648 by prime factorisation method.

Solution We have to find the cube root of 10648 by prime factorisation method 10648 = 2×2×2×11×11×11 By... View Article

Find the cube root of 512 by prime factorisation method.

Solution We have to find the cube root of 512 by prime factorisation method 512... View Article

Find the cube root of 64 by prime factorisation method.

Solution We have to find the cube root of 64 by prime factorisation method 64 = 2×2×2×2×2×2 By assortingthe... View Article

Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?

Solution The side of the cube are 5 cm, 2 cm and 5 cm. Hence, the volume of the cube = 5×2×5 = 50 On prime factorisation of 50 we get As, 2... View Article

Find the smallest number by which the following number must be divided to obtain a perfect cube: 704

We have to find the smallest number by which 704 must be multiplied to obtain a perfect cube Solution 704 On prime factorisation of 704 we... View Article

Find the smallest number by which the following number must be divided to obtain a perfect cube: 192

We have to find the smallest number by which 192 must be multiplied to obtain a perfect cube Solution 192 On prime factorisation of 192 we... View Article

Find the smallest number by which the following number must be divided to obtain a perfect cube: 135

We have to find the smallest number by which 135 must be multiplied to obtain a perfect cube Solution 135 On prime factorisation of 135... View Article

Find the smallest number by which the following number must be divided to obtain a perfect cube: 128

We have to find the smallest number by which 128 must be multiplied to obtain a perfect cube Solution 128 On prime factorisation of 128... View Article

Find the smallest number by which the following number must be divided to obtain a perfect cube: 81

We have to find the smallest number by which 81 must be multiplied to obtain a perfect cube Solution 81 On prime factorisation of 81 we... View Article

Find the smallest number by which the following number must be multiplied to obtain a perfect cube: 100

We have to find the smallest number by which 100 must be multiplied to obtain a perfect cube Solution 100 On prime factorisation of 100 we... View Article

Find the smallest number by which the following number must be multiplied to obtain a perfect cube: 675

We have to find the smallest number by which 675 must be multiplied to obtain a perfect cube Solution 675 On prime factorisation of 675 we... View Article

Find the smallest number by which the following number must be multiplied to obtain a perfect cube: 72

We have to find the smallest number by which 72 must be multiplied to obtain a perfect cube Solution 72 On prime factorisation of 72 we get,... View Article

Find the smallest number by which the following number must be multiplied to obtain a perfect cube: 256

We have to find the smallest number by which 256 must be multiplied to obtain a perfect cube Solution 256 On prime factorisation of 256 we... View Article

Find the smallest number by which the following number must be multiplied to obtain a perfect cube: 243

We have to find the smallest number by which 243 must be multiplied to obtain a perfect cube Solution 243 On prime factorisation of 243 we... View Article

Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656

Solution (i) 216 On prime factorisation of 216 we get, 216 = 2×2×2×3×3×3 By assorting the factors in triplets of equal factors, 216 =... View Article

Draw the following: A parallelogram OKAY where OK = 5.5 cm and KA = 4.2 cm.

Solution Rough Sketch of rectangle OKAY We can draw the rectangle OKAY using the steps given below (1) Draw a line segment OK of... View Article

Draw the following: A rectangle with adjacent sides of length 5 cm and 4 cm.

Solution Rough Sketch of rectangle ABCD We can draw the rectangle ABCD using the steps given below (1) Draw a line segment AB of 5 cm... View Article

Draw the following: A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

Solution Rough Sketch of rhombus ABCD We can daw the rhombus ABCD using the steps given below (1) Draw a line segment AC of 5.2 cm and draw... View Article