- Reasoning - Home
- Reasoning - Overview
- Reasoning
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 20 cm each portion. Tiny cubes of 2 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?
Answer : C
Explanation
Here x = 20/2 = 10 cm. so x - 2 = 10 - 2 = 8. Finally: 8 × 8 × 8 = 512. Hence answer is option C.
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?
Answer : D
Explanation
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 - 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 - 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?
Answer : B
Explanation
Number of that cubes can be formed = length × breadth × height
= 9 × 5 × 2 = 90.
Answer : D
Explanation
The answer is the number of corners available which is 8. Hence option D is the correct answer.
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 - What will be length of the portion of tiny cubes, if the original big cube having each portion of 40 cm is segmented into 125 tiny ones?
Answer : D
Explanation
Total number of tiny cubes = 125. Cube root of 125 = 5. So x = 5 cm.
5 = (40/ portion of tiny cube) or portion of tiny cube = 40/5 = 8 cm.
Answer : D
Explanation
It is impossible to get four varnished faces out of a big cube. Hence answer is zero.
Q 9 - A big cube is segmented into tiny cubes and each portion of the tiny cubes are of equal length. The total number. of tiny cubes formed is 512. Each portion of the tiny cubes is 4 cm. Find out the length of each portion of the original bigger cube.
Answer : A
Explanation
Total number of cubes = 512. Cube root of 512 is 8. So x = 8. By formula, portion of big cube = 8 × 4 = 32. Hence option A 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?
Answer : B
Explanation
Here x = 44/4 = 11 cm. So x - 2 = 11 - 2 = 9. Finally 9 × 9 × 9 = 729. Hence answer is option B.