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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 18 cm each portion. Tiny cubes of 9 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

x = 18/9 = 2 cm. so x - 2 = 2 - 2 = 0. Hence answer is option A.

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

Q 3 - Chicky has a cube whose each portion is of 9 cm. If she wants to cut tiny cubes of portion 3 cm each, then how many such cubes will be possible for her?

Here x = (9/3) = 3

So number of cubes = 3 × 3 × 3 = 27. Hence option D is correct.

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?

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.

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?

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 - 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?

x = (15/1.5) = 10

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

Here x = 9. So x - 2 = 9 - 2 = 7. 7 × 7 × 7 = 343.

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (8 - 2) × 12 = 6 × 12 = 72. 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?

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.

reasoning_cube_and_cuboid.htm

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