Cube and Cuboid Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Cube and Cuboid. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - How many cubes will be formed having only two faces varnished?

A - 45

B - 48

C - 47

D - 80

Answer : B

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (6 - 2) × 12 = 4 × 12 = 48. Hence option B is the answer.

Q 2 - How many cubes will be formed having only three faces varnished?

A - 8

B - 7

C - 9

D - 5

Answer : A

Explanation

The answer is the number of corners available which is 8. Hence option A is the correct answer.

Q 3 - Raja has a cube whose each portion is of 8 cm. If he wants to cut tiny cubes of portion 2 cm each, then how many such cubes will be possible for him?

A - 66

B - 64

C - 55

D - 70

Answer : B

Explanation

Here x = (8/2) = 4

So number of cubes = 4 × 4 × 4 = 64. Hence option B is correct.

Q 4 - A big cube is segmented into tiny cubes and each portion of the tiny cubes is of equal length. The total number. of tiny cubes formed is 343. Each portion of the tiny cubes is 4 cm. Find out the length of each portion of the original bigger cube.

A - 12

B - 29

C - 28

D - 10

Answer : C

Explanation

Number of cubes = 343. Cube root of 343 is 7. So x = 7. By formula, portion of big cube = 7 × 4 = 28. Hence option C is correct.

Q 5 - Raman has a cube which has length of 5 cm, breadth of 4 cm and height of 3 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

A - 60

B - 22

C - 70

D - 45

Answer : A

Explanation

Number of cubes can be formed = length × breadth × height

= 5 × 4 × 3 = 60.

Q 6 - A cube is segmented into 64 equal tiny cubes. Before dividing the cube, each face of it is varnished in different colours. How many tiny cubes will be formed having more than one colour?

A - 64

B - 32

C - 45

D - 53

Answer : B

Explanation

Here x = Cube root of 64 = 4. More than one colour means two or more colours. So, total number of cubes whose two faces are varnished is = (x - 2) × number of edges = (4 - 2) × 12 = 24. The three varnished cubes are the number of corners = 8. So total number of required cubes = 24 + 8 = 32. Hence option B is the answer.

Q 7 - Baghdatis has a cube which has length of 10 cm, breadth of 8 cm, and height of 5 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

A - 650

B - 422

C - 400

D - 450

Answer : C

Explanation

number of cubes can be formed = length × breadth × height

= 10 × 8 × 5 = 400.

Q 8 - How many cubes will be formed having only two faces varnished?

A - 85

B - 84

C - 48

D - 80

Answer : B

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (9 - 2) × 12 = 7 × 12 = 84. Hence option B is the answer.

Q 9 - A big cube is segmented into tiny cubes and each portion of the tiny cubes are of equal length. The total number. of tiny cubes formed is 512. Each portion of the tiny cubes is 4 cm. Find out the length of each portion of the original bigger cube.

A - 32

B - 39

C - 8

D - 10

Answer : A

Explanation

Total number of cubes = 512. Cube root of 512 is 8. So x = 8. By formula, portion of big cube = 8 × 4 = 32. Hence option A is correct.

Q 10 - How many cubes will be formed having only three faces varnished?

A - 6

B - 7

C - 9

D - 8

Answer : D

Explanation

The answer is the number of corners available which is 8. Hence option D is the correct answer.

reasoning_cube_and_cuboid.htm
Advertisements