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 - A big cube is having 20 cm each portion. Tiny cubes of 2 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

Answer : C

Explanation

Here x = 20/2 = 10 cm. so x - 2 = 10 - 2 = 8. Finally: 8 × 8 × 8 = 512. Hence answer is option C.

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

Answer : B

Explanation

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

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 - Mita has a cube whose each portion is of 6 cm. If she wants to cut tiny cubes of portion 1.5 cm each, then how many such cubes will be possible for her?

Answer : A

Explanation

x = (6/1.5) = 4

So number of tiny cubes = 4 × 4 × 4 = 64. Hence option A is correct.

Q 6 - A cube is segmented into 64 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 : B

Explanation

Here x = Cube root of 64 = 4. 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 = (4 - 2) × 12 = 24. The three varnished cubes are the number of corners = 8. So total number of required cubes = 24 + 8 = 32. Hence option B 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?

Answer : C

Explanation

x = (15/1.5) = 10

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

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?

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 - 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 729. Each portion of the tiny cubes is 5 cm. Find out the length of each portion of the original bigger cube.

Answer : C

Explanation

Total number of tiny cubes = 729. Cube root of 729 is 9. So x = 9. By formula, portion of big cube = 9 × 5 = 45. Hence option C is correct.

Q 10 - A cube is segmented into 512 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 : D

Explanation

Here x = Cube root of 512 = 8. 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 = (8 - 2) × 12 = 72. Total number of cubes whose three faces are varnished are the number of corners = 8. So total number of required cubes = 72 + 8 = 80. Hence option D is the answer.

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