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 two faces varnished?

Answer : B

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (6 - 2) × 12 = 4 × 12 = 48. Hence option B is the answer.

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 - 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 original big cube is 10 cm and the cube is segmented into 125 tiny cubes?

Answer : C

Explanation

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

5 = (10/portion of tiny cube) or portion of tiny cube = 10/5 = 2 cm.

Q 5 - Raman has a cube which has length of 5 cm, breadth of 4 cm and height of 3 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

Answer : A

Explanation

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

= 5 × 4 × 3 = 60.

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 - Gourav has a cube whose each portion is of 45 cm. If he wants to cut tiny cubes having portion of 5 cm each, then how many such cubes will be possible for him?

Answer : C

Explanation

x = (45/5) = 9

So number of cubes = 9 × 9 × 9 = 729. Hence option C is correct.

Q 8 - How many cubes will be formed having only two faces varnished?

Answer : B

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (9 - 2) × 12 = 7 × 12 = 84. Hence option B is the answer.

Q 9 - How many cubes will be formed having no face varnished?

Answer : C

Explanation

x = 8. So x - 2 = 8 - 2 = 6. 6 × 6 × 6 = 216.

Q 10 - A big cube is having 80 cm portion and the tiny cubes cut out of it is having 8 cm 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 = 80/8 = 10. Such cubes can be found by following method. X 2 = 10 - 2 = 8. So 8 × 8 × 8 = 512. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is 512.

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