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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 18 cm each portion. Tiny cubes of 9 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?
Answer : A
Explanation
x = 18/9 = 2 cm. so x - 2 = 2 - 2 = 0. Hence answer is option A.
Answer : A
Explanation
Here x = 10. So x - 2 = 10 - 2 = 8. So 8 × 8 × 8 = 512.
Answer : A
Explanation
The answer is the number of corners available which is 8. Hence option A is the correct answer.
Q 4 - Aishwarya has a cube which has length of 8 cm, breadth of 7 cm and height of 6 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?
Answer : D
Explanation
Number of cubes can be formed = length × breadth × height
= 8 × 7 × 6 = 336.Answer : D
Explanation
The answer is the number of corners available which is 8. Hence option D is the correct answer.
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 - 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?
Answer : C
Explanation
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.
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 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.
Answer : C
Explanation
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.
Q 10 - A big cube is having 64 cm 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 : A
Explanation
Here x = 64/8 = 8 cm. So x - 2 = 8 - 2 = 6. Finally 6 × 6 × 6 = 216. Hence answer is option A.