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 no face varnished?

Answer : B

Explanation

Here x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64.

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?

Answer : D

Explanation

Here x = (9/3) = 3

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

Q 4 - Bhargav has a cube which has length of 10 cm, breadth of 4 cm, and height 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

Answer : B

Explanation

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

= 10 × 4 × 2 = 80.

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?

Answer : C

Explanation

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 - A big cube is having 9 cm portion and the tiny cubes cut out of it is having 3 cm for each portion. How many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

Answer : A

Explanation

Here x = 9/3 = 3. Such cubes can be found by following method. x – 2 = 3 - 2 = 1. 1 × 1 × 1 = 1. So, number of cubes that will be formed such that each face of these cubes is surrounded by other cubes is only one.

Q 7 - A big cube whose all the corners are named as M, N, O, P, Q, R, S and T. Its each portion is of 54 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 6 cm. How many such cubes are possible?

Answer : B

Explanation

To find the number of tiny cubes first we have to find x. So x = (54/6) = 9. So number of tiny cubes M = 9 × 9 × 9 = 729. Hence option B is the answer.

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?

Answer : B

Explanation

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 343. Each portion of the tiny cubes is 2 cm. Find out the length of each portion of the original bigger cube.