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 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 2 - 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 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?

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 - What will be length of the portion of tiny cubes, if each portion of the original big cube is 14 cm and the cube is segmented into 343 tiny ones?

Answer : A

Explanation

Here number of tiny cubes = 343. Cube root of 343 = 7. So x = 7 cm.

2 = (14/portion of tiny cube) or portion of tiny cube = 14/7 = 2 cm.

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 - Pabitra has a cube whose each portion is of 48 cm. If he wants to cut tiny cubes having portion of 8 cm each, then how many such cubes will be possible for him?

Answer : D

Explanation

x = (48/8) = 6

So number of tiny cubes = 6 × 6 × 6 = 216. Hence option D is correct.

Q 8 - What will be length of the portion of tiny cubes, if the original big cube having each portion of 45 cm is segmented into 729 tiny ones?

Answer : A

Explanation

Total number of tiny cubes = 729. Cube root of 729 = 9. So x = 9 cm.

9 = (45/portion of tiny cube) or portion of tiny cube = 45/9 = 5 cm.

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.

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 - A cube is segmented into 1331 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 : C

Explanation

Here x = Cube root of 1331 = 11. 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 = (11 - 2) × 12 = 108. The cubes having three faces varnished are the number of corners = 8. So total number of required cubes = 108 + 8 = 116. Hence option C is the answer.

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