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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.
Answer : C
Explanation
It is impossible to get four varnished faces out of a big cube. Hence answer is zero.
Answer : A
Explanation
The answer is the number of corners available which is 8. Hence option A is the correct answer.
Q 3 - A big cube whose all the corners are named as K, L, M, N, O, P, Q and R. Its each portion is of 36 cm in 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 : B
Explanation
To find the number of tiny cubes, first we have to find x. Here x = (36/4) = 9. So number of tiny cubes M = 9 × 9 × 9 = 729. Hence option B is the answer.
Q 4 - 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 27. Each portion of the tiny cubes is 2 cm. Find out the length of each portion of the original bigger cube.
Answer : A
Explanation
Number of cubes = 27. Cube root of 27 is 3. So x = 3. By formula, portion of big cube = 3 × 2= 6. Hence option A is correct.
Q 5 - What will be length of the portion of tiny cubes, if each portion of the original big cube is 4 cm and the cube is segmented into 125 tiny ones?
Answer : D
Explanation
Number of tiny cubes = 125. Cube root of 125 = 5. So x = 5 cm. 5 = (4/portion of tiny cube) or portion of tiny cube = 4/5 = 0.8 cm.
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.
Answer : B
Explanation
Tiny cubes having only two faces varnished = (x - 2) × number of edges = (9 - 2) × 12 = 7 × 12 = 84. Hence option B is the answer.
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.
Answer : D
Explanation
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.
Answer : D
Explanation
The answer is the number of corners available which is 8. Hence option D is the correct answer.
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