Cubes and Cube Roots Test

Result

Cubes and Cube Roots Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The length of each side of a cubical box is 2.4 m. Its volume is ___.

A
1.3824×10⁷cu.cm

B
13.824cu.cm

C
1.3824×10⁸cu.cm

D
1.3824×10⁴cu.cm

Solution

Side of cubical box = 2.4 m ∴ Volume=(side)³ = (2.4 m)³ =13.824 m³ = 13.824 × 10⁶ cm³ =1.3824 × 10⁷cm³
Question 2
1 / -0

The unit's digit of the cube of a number is 9. The unit's digit of its cube root is ___.

A
9

B
7

C
3

D
1
Question 3
1 / -0

The cube of a number x is nine times ofx, then findx, where x≠0 and x≠−3.

A
8

B
2

C
4

D
3

Solution

It is given that,x³ = 9x,x ≠ 0,x ≠ −3 Now, x³ − 9x = 0⇒ x (x² − 9) = 0 ⇒ x² − 9 = 0(∵x ≠ 0) ⇒ x² = 9⇒ x = 3 or −3 But x ≠ −3 ∴ x = 3
Question 4
1 / -0

Atul made a cuboid of plasticine. Length, breadth and height of the cuboid are 25 cm. 25 cm and 50 cm. How many minimum such cuboids he needs to make a perfect cube?

A
4

B
20

C
12

D
25

Solution

Volume of cuboid = 25 × 25 × 50 = 5 × 5 × 5 × 5 × 5 × 5 × 2 Since there is only one 2 In the prime factorisation. So, he needs 2 × 2 = 4, to make it a perfect cube. ∴

He need 4 such cuboids to make a perfect cube.