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.
Answer : A
Explanation
The answer is the number of corners available which is 8. Hence option A is the correct answer.
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.
Q 5 - 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 are 27. Each portion of the tiny cube is 3 cm. Then find out the length of each portion of the original bigger cube.
Answer : B
Explanation
Number of cube = 27. Cube root of 27 is 3. So x= 3. By formula, portion of big cube = 3 × 3 = 9. Hence option B is correct.
Q 6 - A cube is segmented into 64 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?
Answer : B
Explanation
Here x = Cube root of 64 = 4. 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 = (4 - 2) × 12 = 24. The three varnished cubes are the number of corners = 8. So total number of required cubes = 24 + 8 = 32. Hence option B is the answer.
Q 7 - Pushpak has a cube which has length of 12 cm, breadth of 5 cm and height of 5 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?
Answer : A
Explanation
Number of cubes can be formed = length × breadth × height
= 12 × 5 × 5 = 300.
Answer : D
Explanation
It is impossible to get four varnished faces out of a big cube. Hence answer is zero.
Answer : C
Explanation
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 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.
