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 32 cm in each portion. Tiny cubes of 8 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

Answer : B

Explanation

Here x = 32/8 = 4 cm. so x - 2 = 4 - 2 = 2. Finally: 2 × 2 × 2 = 8. Hence answer is option A.

Q 2 - How many cubes will be formed having all the four faces varnished?

Answer : A

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 only two faces varnished?

Answer : C

Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (4 - 2) × 12 = 2 × 12 = 24. Hence option C is the correct answer.

Q 4 - What will be length of the portion of tiny cubes, if each portion of the original big cube is 8 cm and the cube is segmented into 125 tiny ones?

Answer : D

Explanation

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

5 = (8/ portion of tiny cube) or portion of tiny cube = 8/5 = 1.6 cm.

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

Answer : C

Explanation

The answer is the number of corners available which is 8. Hence option C is the correct 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 cube is segmented into 729 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 : A

Explanation

Here x = Cube root of 729 = 9. 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 = (9 - 2) × 12 = 84. The number of cubes whose three faces are varnished are the number of corners = 8. So total number of required cubes = 84 + 8 = 92. Hence option A is the answer.

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