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Practice Time 6B

1. Find the cube root of each of the following numbers by prime factorisation method.
(a) 2744 (b) –6859 (c) 132651
2. Find the cube root of the following by estimation method.

(a) 91125 (b) 389017 (c) 592704
3. Find the cube root of the following by successive subtraction method.
(a) 216 (b) 729 (c) 1728
4. Find the smallest number which when multiplied with the following numbers will make the
product a perfect cube. Find the cube root of the product.
(a) 3600 (b) 6125

5. Find the smallest number by which the following numbers must be divided to get a perfect cube.
Also, find the cube root of the number obtained.

(a) 3087 (b) 16875
6. Evaluate the following.

(a) 3 729 (b) 3 125 (c) 3 648 × 3 576 (d) 3 2197 × 5832
1000 512
7. Find the cube root of the following.
−1331 −1875
(a) –216 × 1728 (b) (c) (d) 3.375
4096 −5145
8. The volume of a cubical box is 32.768 cubic metres. Find the length of the side of the box.
197
9. Find the side of a cube whose volume is 112 cubic metres.
216
10. Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 98784. Find the numbers.

maths fun

Play this Tic-Tac-Toe game, with your friends.
3 216 1296 3 10648
Take the turns alternatively, solve the given problem and acquire
the box. 3 1728
2 3 3 3 + 4 + 5 3
3
3
The player who marks three of their boxes in a line (horizontal, 3 8
vertical, or diagonal) is the winner.
3 512 (2 × 3) 2 36

Brain Sizzlers

.
1. If 2 3 x × 0 000001 = 0.2, then find the value of x.
2. I am 4-digit number
I am both a square and cube number.
My ones and tens digits are 6 and 9 respectively, who am I?

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