Cube and Cuboid Online Quiz


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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 three faces varnished?

A - 8

B - 7

C - 9

D - 4

Answer : A

Explanation

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

Q 2 - A big cube whose each corner is named as A, B, C, D, E, F, G and H is having each portion 30 cm. This cube is segmented into tiny cubes of portion 5 cm each. All the faces of the original big cube is varnished with white colour before being cut.

How many cubes will be formed having only one face varnished?

A - 86

B - 90

C - 56

D - 96

Answer : D

Explanation

Here x = 30/5 = 6. So number of tiny cubes can be formed is M = 6 × 6 × 6 = 216.

Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (6 - 2) × (6 - 2) × 6 = 4 × 4 × 6 = 96. Hence option D is the answer.

Q 3 - A big cube whose all the corners are named as K, L, M, N, O, P, Q and R. Its each portion is of 36 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 4 cm. Then how many such cubes are possible?

A - 725

B - 729

C - 125

D - 764

Answer : B

Explanation

To find the number of tiny cubes, first we have to find x. Here x = (36/4) = 9. So number of tiny cubes M = 9 × 9 × 9 = 729. Hence option B is the answer.

Q 4 - Sanghamoyra has a cube which has length of 9 cm, breadth of 5 cm, and height of 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

A - 60

B - 90

C - 70

D - 45

Answer : B

Explanation

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

= 9 × 5 × 2 = 90.

Q 5 - How many cubes will be formed having only two faces varnished?

A - 45

B - 65

C - 48

D - 80

Answer : C

Explanation

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

Q 6 - A big cube is having 16 cm each portion. Tiny cubes of 4 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

A - 8

B - 9

C - 16

D - 33

Answer : A

Explanation

Here x = 16/4 = 4 cm. So x - 2 = 4 - 2 = 2. So 2 × 2 × 2 = 8. Hence answer is option A.

Q 7 - A big cube whose all the corners are named as A, B, C, D, E, F, G and H. Its each portion is of 60 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 3 cm. How many such cubes are possible?

A - 2500

B - 8500

C - 8000

D - 8864

Answer : C

Explanation

To find the number of tiny cubes first we have to find x. So x = (60/3) = 20. So number of tiny cubes = 20 × 20 × 20 = 8000. Hence option C is the answer.

Q 8 - A big cube whose each corner is named as G, H, J, K, L, M, N and P is having each portion of 72 cm. This cube is segmented into tiny cubes of portion 9 cm each. All the faces of the original big cube is varnished pink before being cut.

How many cubes will be formed having only one face varnished?

A - 296

B - 290

C - 216

D - 87

Answer : C

Explanation

Here x = 72/9 = 8. So number of tiny cubes can be formed is M = 8 × 8 × 8 = 512.

Cubes having only one face varnished is = (x - 2) × (x - 2) x number of faces = (8 - 2) × (8 - 2) × 6 = 6 × 6 × 6 = 216. Hence option C is the answer.

Q 9 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 64

D - 74

Answer : C

Explanation

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

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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