Question

ASSIGNMENT 3.6
1. Multiple Choice Questions (MCQ) Choose the correct option.
(i) The length of the side of a cube, whose volume is 250 cm, is
(Use the table for the cube roots
(a) 6.3 cm (6) 63 cm
(c) 6.3 m (d) 0.63 cm
(ii) The value of 32197 x 33375 is
(a) 215
(6) 175
(c) 205
(d) 195
2. Making use of the cube-root table, find the cube roots of the following (correct to
three decimal places):
(i) 18
(ii) 270
(iii) 765
(iv) 963
27
54
(v) 8100
(vi)
(vii)
(viii) 17.6
729
343
(ix) 73.8
(x) 34.2
3. Find the value (using cube-root table):
(i) 37
(ii) 370
(iii) 3700
(iv) 3792
(u) 3833
(vi) 37532
64
43
31
(vii) 3
216
(viii)
(ix)
125
81
85
343
(x)
100
343
(xi)
4. Evaluate :
(i) 3 148 x 200
(ii) 23 x 343
(iii) 3/3700 x 729
(iv) 3/72 x 192
(u) 324 x 576
(vi) 350 x 540
(vii) 3 3094 x 100
5. Find the length of each side of a cubical box, the volume of which is 61 cm.​

Answer 1

Answer:

1.   Which of the following is correct?

          I. Cube of a negative number is always positive.

         II. Cube of a negative number is always negative.

        III. Cube of a negative number may be positive or negative.

        IV. All of the above

2.   If the digit in one’s place of a number is 2, then the last digit of its cube will be:

          I. 2

         II. 4

        III. 6

        IV. 8

3.   If the digit in one’s place of a number is 3, then the last digit of its cube will be:

          I. 3

         II. 6

        III. 7

        IV. 9

4.   If the digit in one’s place of a number is 6, then the last digit of its cube will be:

          I. 6

         II. 3

        III. 2

        IV. 8

5.   The volume of a cubical box is 64 cm3. Which of the following is its side?

          I. 2 cm

         II. 4 cm

        III. 6 cm

        IV. 8 cm

6.   Which of the following is a perfect cube?

          I. 10000

         II. 243

        III. 343

        IV. 270000

7.   If a number is doubled then which of the following is a correct statement?

          I. Its cube is two times the cube of the given number.

         II. Its cube is three times the cube of the given number.

        III. Its cube is six times the cube of the given number.

        IV. Its cube is eight times the cube of the given number.

8.   Which of the following is equal to its own cube?

          I. -1

         II. -2

        III. -3

        IV. -9

9.   Which of the following is the cube root of 27000?

          I. 30

         II. 300

        III. 3000

        IV. None of these

10.   Which of the following is the cube root of -64/243?

          I. 7/4

         II. -7/4

        III. 4/7

        IV. -4/7

ANSWERS

1.    II

2.    IV

3.    III

4.    I

5.    II

6.    III

7.    IV

8.     I

9.    I

10. IV