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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 33 cm portion and the tiny cubes cut out of it is having 11 cm in each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

Here x = 33/11 = 3. Such cubes can be found by following method. X – 2 = 3 - 2 = 1 and 1 × 1 × 1 = 1. So, number of cubes will be formed such that each face of these cubes is surrounded by other cubes is only one.

Q 2 - A big cube whose each corner is named as A, B, C, D, E, F, G and H is having each portion 30 cm. This cube is segmented into tiny cubes of portion 5 cm each. All the faces of the original big cube is varnished with white colour before being cut.

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

Here x = 30/5 = 6. So number of tiny cubes can be formed is M = 6 × 6 × 6 = 216.

Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (6 - 2) × (6 - 2) × 6 = 4 × 4 × 6 = 96. Hence option D is the answer.

Q 3 - Raja has a cube whose each portion is of 8 cm. If he wants to cut tiny cubes of portion 2 cm each, then how many such cubes will be possible for him?

Here x = (8/2) = 4

So number of cubes = 4 × 4 × 4 = 64. Hence option B is correct.

Q 4 - Sanghamoyra has a cube which has length of 9 cm, breadth of 5 cm, and height of 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

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

= 9 × 5 × 2 = 90.

Q 5 - A big cube whose all the corners are named as A, B, C, D, E, F, G and H. Its each portion is of 20 cm length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 4 cm. Then how many such cubes are possible?

To find the number of tiny cubes, first we have to find x. So x = (20/4) = 5. So number of tiny cubes = 5 × 5 × 5 = 125. Hence option C.

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 - What will be the length of the portion of tiny cubes, if the original big cube having each portion of 36 cm is segmented into 216 tiny ones?

Total number of tiny cubes = 216. Cube root of 216 = 6. So x = 6 cm.

6 = (36/ portion of tiny cube) or portion of tiny cube = 36/6 = 6 cm.

Q 8 - Radhamohan has a cube which has length of 15 cm, breadth of 4 cm, and height of 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

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

= 15 × 4 × 2 = 120.

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 8. Each portion of the tiny cubes is 1 cm. Find out the length of each portion of the original bigger cube.

Total number of tiny cubes is = 8. Cube root of 8 is 2. So x = 2. By formula portion of big cube = 2 × 1 = 2. Hence option D is correct.

Q 10 - A big cube is having each portion of 44 cm. Tiny cubes of 4 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

Here x = 44/4 = 11 cm. So x - 2 = 11 - 2 = 9. Finally 9 × 9 × 9 = 729. Hence answer is option B.

reasoning_cube_and_cuboid.htm

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