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 no face varnished?

Answer : D

Explanation

Here x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64. Hence option D is the 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 A, B, C, D, E, F, G and H. Its each portion is of 50 cm length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 5 cm. Then how many such cubes are possible?

Answer : D

Explanation

To find the number of tiny cubes first we have to find x. Here x = (50/5) = 10. So number of tiny cubes = 10 × 10 × 10 = 1000. Hence option D is the answer.

Q 4 - 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 4 cm. Find out the length of each portion of the original bigger cube.

Answer : C

Explanation

Number of cubes = 343. Cube root of 343 is 7. So x = 7. By formula, portion of big cube = 7 × 4 = 28. Hence option C 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 - A big cube whose all the corners are named as H, I, J, K, L, M, N and O. Its each portion is of 50 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 10 cm. How many such cubes are possible?

Answer : A

Explanation

To find the number of tiny cubes, first we have to find x. So x = (50/10) = 5. So number of tiny cubes = 5 × 5 × 5 = 125. Hence option A is the correct answer.

Q 7 - A big cube whose all the corners are named as M, N, O, P, Q, R, S and T. Its each portion is of 54 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 6 cm. How many such cubes are possible?

Answer : B

Explanation

To find the number of tiny cubes first we have to find x. So x = (54/6) = 9. So number of tiny cubes M = 9 × 9 × 9 = 729. Hence option B is the answer.

Q 8 - Radhamohan has a cube which has length of 15 cm, breadth of 4 cm, and height of 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

Answer : B

Explanation

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

= 15 × 4 × 2 = 120.

Q 9 - A big cube whose each corner is named as C, V, B, N, M, K, H and L is having each portion of 32 cm. This cube is segmented into tiny cubes having portion of 4 cm each. All the faces of the original big cube is varnished navy blue before being cut.

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

Answer : C

Explanation

Here x = 32/4 = 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) × number of faces = (8 - 2) × (8 - 2) × 6 = 6 × 6 × 6 = 216. Hence option C is the answer.

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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