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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 whose each corner is named as X, Y, Z, A, B, C, D and E is having each portion 24 cm. This cube is segmented into tiny cubes of portion 4 cm each. All the faces of the original big cube are varnished with maroon colour before being cut.
How many cubes will be formed having only one face varnished?
Answer : B
Explanation
Here x = 24/4 = 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 B is the answer.
Answer : A
Explanation
The answer is the number of corners available which is 8. Hence option A is the correct answer.
Answer : A
Explanation
The answer is the number of corners available which is 8. Hence option A is the correct 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 343. Each portion of the tiny cubes is 4 cm. Find out the length of each portion of the original bigger cube.
Answer : C
Explanation
Number of cubes = 343. Cube root of 343 is 7. So x = 7. By formula, portion of big cube = 7 × 4 = 28. Hence option C is correct.
Answer : C
Explanation
x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64.
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.
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 whose each corner is named as C, V, B, N, M, K, H and L is having each portion of 32 cm. This cube is segmented into tiny cubes having portion of 4 cm each. All the faces of the original big cube is varnished navy blue before being cut.
How many cubes will be formed having only one face varnished?
Answer : C
Explanation
Here x = 32/4 = 8. So number of tiny cubes can be formed is M = 8 × 8 × 8 = 512.
Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (8 - 2) × (8 - 2) × 6 = 6 × 6 × 6 = 216. Hence option C is the answer.
Answer : A
Explanation
It is impossible to get four varnished faces out of a big cube. Hence answer is zero.