4 - Cubes and Cube Roots: Worksheet–4.1

8
4 - Cubes and Cube Roots: Worksheet–4.1
Name:
Date:
1.If p is cube root of q, then
[a]
p3 = q[b] q3 = p[c] p = 3 × q[d] q = 3 × p
2. The digit at the units place of cube of 124 is
[a] 6
[b] 4
[c] 8
[d] 2
3. The smallest multiple of 36 which is a perfect cube is
[a] 72
[b] 1296
[c] 216
[d] 160
4. The maximum number of digits in the cube root of a six-digit number are
[a] 1
[b] 2
[c] 3
[d] 6
b. (0.01)3
c.
d.
5. Solve the following:
3
1
a.   2
3
64 3
1331
6. Find the smallest number by which 5400 must be multiplied to get a perfect cube?
7. Find the cube root by prime factorisation method.
a. 512
b. 5832
8. Mohan makes a cuboid of plasticine of sides 10 cm, 15 cm and 20 cm. How many such cuboid will be
need to form a cube?
9. Find the value of x in the following.
a. 4x3 = 864
b. x3 + 12 = 1343
c. x3 = 64
10.Shift the position of decimal point on LHS of the equation to make the following statement true.
a.
3
Grade:
0.8 = 0.2 b.
3
0.1331 = 1.1 c.
3
24.389 = 0.29 Teacher’s signature:
d.
3
274.4 = 1.4