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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.

Here x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64. Hence option D is the answer.

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 - A big cube whose each corner is named as Q, R, S, T, U, V, W and X is having each portion of 20 cm. This cube is segmented into tiny cubes of portion 5 cm each. All the faces of the original big cube is varnished with blue colour before being cut.

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

Here x = 20/5 = 4. So number of tiny cubes that can be formed is M = 4 × 4 × 4= 64.

Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (4 - 2) × (4-2) × 6 = 2 × 2 × 6 = 24. Hence option C 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 27. Each portion of the tiny cubes is 2 cm. Find out the length of each portion of the original bigger cube.

Number of cubes = 27. Cube root of 27 is 3. So x = 3. By formula, portion of big cube = 3 × 2= 6. Hence option A is correct.

Q 5 - What will be length of the portion of tiny cubes, if each portion of the original big cube is 4 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 = (4/portion of tiny cube) or portion of tiny cube = 4/5 = 0.8 cm.

Q 6 - Rachita has a cube whose each portion is of 25 cm. If she wants to cut tiny cubes of portion 2.5 cm each, then how many such cubes will be possible for her?

x = (25/2.5) = 10

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

Q 7 - A big cube whose all the corners are named as A, B, C, D, E, F, G and H. Its each portion is of 60 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 3 cm. How many such cubes are possible?

To find the number of tiny cubes first we have to find x. So x = (60/3) = 20. So number of tiny cubes = 20 × 20 × 20 = 8000. Hence option C is the answer.

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

Total number of tiny cubes = 343. Cube root of 343 is 7. So x = 7. By formula, portion of big cube = 7 × 2 = 14. Hence option C is correct.

The answer is the number of corners available which is 8. Hence option D is the correct answer.

reasoning_cube_and_cuboid.htm

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