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 all the four faces varnished?

A - 5

B - 8

C - 0

D - 20

Answer : C

Explanation

It is impossible to get four varnished faces out of a big cube. Hence answer is zero.

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

A - 95

B - 65

C - 48

D - 96

Answer : D

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (10 - 2) × 12 = 8 × 12 = 96. Hence option D is the answer.

Q 3 - Chicky has a cube whose each portion is of 9 cm. If she wants to cut tiny cubes of portion 3 cm each, then how many such cubes will be possible for her?

A - 24

B - 36

C - 45

D - 27

Answer : D

Explanation

Here x = (9/3) = 3

So number of cubes = 3 × 3 × 3 = 27. Hence option D is correct.

Q 4 - 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 64. Each portion of the tiny cubes is 3 cm. Find out the length of each portion of the original bigger cube

A - 12

B - 9

C - 8

D - 10

Answer : A

Explanation

Number of cubes = 64. Cube root of 64 is 4. So x = 4. By formula, portion of big cube = 4 × 3 = 12. Hence option A is correct.

Q 5 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 64

D - 74

Answer : C

Explanation

x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64.

Q 6 - A big cube whose all the corners are named as P, Q, R, S, T, U, V and W. Its each portion is of 50 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 2.5 cm. Then how many such cubes are possible?

A - 7000

B - 8500

C - 1250

D - 8000

Answer : D

Explanation

To find the number of tiny cubes, first we have to find x. So x = (50/2.5) = 20. So number of tiny cubes M = 20 × 20 × 20 = 8000. Hence option D is the answer.

Q 7 - Harry has a cube whose each portion is of 15 cm. If she wants to cut tiny cubes of portion 1.5 cm each, then how many such cubes will be possible for her?

A - 1064

B - 3699

C - 1000

D - 7009

Answer : C

Explanation

x = (15/1.5) = 10

So total number of cubes = 10 × 10 × 10 = 1000. Hence option C is correct.

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

A - 75

B - 65

C - 48

D - 72

Answer : D

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (8 - 2) × 12 = 6 × 12 = 72. Hence option D is the option.

Q 9 - 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.

Q 10 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 64

D - 74

Answer : C

Explanation

Here x = 8. So x - 2 = 8 - 2 = 6. 6 × 6 × 6 = 216.

reasoning_cube_and_cuboid.htm
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