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.

Q 1 - How many cubes will be formed having all the four faces varnished?

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 three faces varnished?

Answer : A

Explanation

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

Q 3 - A big cube whose each corner is named as Q, R, S, T, U, V, W and X is having each portion of 20 cm. This cube is segmented into tiny cubes of portion 5 cm each. All the faces of the original big cube is varnished with blue colour before being cut.

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

Answer : C

Explanation

Here x = 20/5 = 4. So number of tiny cubes that can be formed is M = 4 × 4 × 4= 64.

Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (4 - 2) × (4-2) × 6 = 2 × 2 × 6 = 24. Hence option C is the answer.

Q 4 - Stalin has a cube whose each portion is of 24 cm. If he wants to cut tiny cubes of portion 8 cm each, then how many such cubes will be possible for him?

Answer : B

Explanation

Here x = (24/8) = 3

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

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

Answer : D

Explanation

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

Q 6 - Aparajit has a cube whose each portion is of 56 cm. If he wants to cut tiny cubes of portion 7 cm each, then how many such cubes will be possible for him?

Answer : C

Explanation

x = (56/7) = 8

So number of tiny cubes = 8 × 8 × 8 = 512. Hence option C is correct.

Q 7 - What will be the length of the portion of tiny cubes, if the original big cube having each portion of 36 cm is segmented into 216 tiny ones?

Answer : A

Explanation

Total number of tiny cubes = 216. Cube root of 216 = 6. So x = 6 cm.

6 = (36/ portion of tiny cube) or portion of tiny cube = 36/6 = 6 cm.

Q 8 - How many cubes will be formed having all the four faces varnished?

Answer : D

Explanation

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

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

Answer : C

Explanation

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

Q 10 - A cube is segmented into 729 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?

Answer : A

Explanation

Here x = Cube root of 729 = 9. 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 = (9 - 2) × 12 = 84. The number of cubes whose three faces are varnished are the number of corners = 8. So total number of required cubes = 84 + 8 = 92. Hence option A is the answer.

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