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 no face varnished?

Answer : B

Explanation

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

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?

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 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

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 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 6 - Rachita has a cube whose each portion is of 25 cm. If she wants to cut tiny cubes of portion 2.5 cm each, then how many such cubes will be possible for her?

Answer : C

Explanation

x = (25/2.5) = 10

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

Q 7 - What will be length of the portion of tiny cubes, if the original big cube having each portion of 40 cm is segmented into 125 tiny ones?

Answer : D

Explanation

Total number of tiny cubes = 125. Cube root of 125 = 5. So x = 5 cm.

5 = (40/ portion of tiny cube) or portion of tiny cube = 40/5 = 8 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 - 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 2 cm. Find out the length of each portion of the original bigger cube.

Answer : C

Explanation

Total number of tiny cubes = 343. Cube root of 343 is 7. So x = 7. By formula, portion of big cube = 7 × 2 = 14. Hence option C is correct.

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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