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 15 cm portion and the tiny cubes cut out of it is having 3 cm in each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

Answer : A

Explanation

Here x = 15/3 = 5. Such cubes can be found by following method. X 2 = 5 - 2 = 3 and 3 × 3 × 3 = 27. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is 27.

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 - 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 - 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 - 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 - How many tiny cubes will be formed having one portion yellow and one portion red for sure?

Answer : C

Explanation

Red and yellow varnished faces are joined by 4 edges, so, number of cubes having red and yellow varnished faces = (x - 2) x number of edges = (4 - 2) × 4 = 2 × 4 = 8. Here x = Cube root of 64 = 4. Number of cubes having three faces varnished will also have red and yellow colours = 8. So total cubes = 8 + 8 = 16.

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