Cube and Cuboid Online Quiz


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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.

Questions and Answers

Q 1 - How many cubes will be formed having all the four faces varnished?

A - 5

B - 8

C - 0

D - 20

Answer : C

Explanation

It is impossible to get four varnished faces out of a big cube. Hence answer is zero.

Q 2 - How many cubes will be formed having only three faces varnished?

A - 8

B - 7

C - 9

D - 5

Answer : A

Explanation

The answer is the number of corners available which is 8. Hence option A is the correct answer.

Q 3 - How many cubes will be formed having only three faces varnished?

A - 8

B - 7

C - 9

D - 1

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?

A - 360

B - 322

C - 370

D - 336

Answer : D

Explanation

Number of cubes can be formed = length × breadth × height

= 8 × 7 × 6 = 336.

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?

A - 0.5

B - 0.9

C - 0.4

D - 0.8

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 - 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?

A - 7

B - 9

C - 10

D - 8

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 - 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?

A - 2500

B - 8500

C - 8000

D - 8864

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.

Q 8 - Radhamohan has a cube which has length of 15 cm, breadth of 4 cm, and height of 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

A - 600

B - 120

C - 170

D - 145

Answer : B

Explanation

Number of cubes can be formed = length × breadth × height

= 15 × 4 × 2 = 120.

Q 9 - How many cubes will be formed having only three faces varnished?

A - 6

B - 7

C - 9

D - 8

Answer : D

Explanation

The answer is the number of corners available which is 8. Hence option D is the correct answer.

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?

A - 61

B - 62

C - 63

D - 64

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.

reasoning_cube_and_cuboid.htm
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