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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 15 cm portion and the tiny cubes cut out of it is having 3 cm in each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?
Answer : A
Explanation
Here x = 15/3 = 5. Such cubes can be found by following method. X 2 = 5 - 2 = 3 and 3 × 3 × 3 = 27. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is 27.
Q 2 - A big cube whose each corner is named as S, T, U, V, W, X, Y and Z is having each portion 30 cm. This cube is segmented into tiny cubes of portion 3 cm each. All the faces of the original big cube is varnished grey before being cut.
How many cubes will be formed having only one face varnished?
Answer : B
Explanation
Here x = 30/3 = 10. So number of tiny cubes that will be formed is M = 10 × 10 × 10 = 1000.
Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (10 - 2) × (10 - 2) × 6 = 8 × 8 × 6 = 384. Hence option B is the answer.
Q 3 - Raja has a cube whose each portion is of 8 cm. If he wants to cut tiny cubes of portion 2 cm each, then how many such cubes will be possible for him?
Answer : B
Explanation
Here x = (8/2) = 4
So number of cubes = 4 × 4 × 4 = 64. Hence option B 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 - Raman has a cube which has length of 5 cm, breadth of 4 cm and height of 3 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
= 5 × 4 × 3 = 60.
Q 6 - Two adjacent portions of a big cube are varnished in red and other two portion are varnished in yellow and the rest of the two portions are varnished in blue. The cube is segmented into 64 tiny and equal cubes.
How many tiny cubes will be formed having all the three colours?
Answer : D
Explanation
The number of corners is 8 hence answer for tiny cubes which have all the three colours are related to 8 corners. Hence option D is the correct 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.
Q 8 - What will be length of the portion of tiny cubes, if the original big cube having each portion of 45 cm is segmented into 729 tiny ones?
Answer : A
Explanation
Total number of tiny cubes = 729. Cube root of 729 = 9. So x = 9 cm.
9 = (45/portion of tiny cube) or portion of tiny cube = 45/9 = 5 cm.
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.
Q 10 - A big cube is having 90 cm portion and the tiny cubes cut out of it is having 15 cm each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?
Answer : D
Explanation
Here x = 90/15 = 6. Such cubes can be found by following method. X 2 = 6 - 2 = 4. 4 × 4 × 4 = 64. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is 64.