KVS REASONING QUIZ 9 (CUBE & CUBOID)

Attempt now to get your rank among 16 students!

Question 1:

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

How many cubes will have atleast one coloured surface?

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

Question 2:

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

How many cubes will have any two colours only?

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

Question 3:

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

How many cubes will have all the three colours: red, yellow and green?

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

Question 4:

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

How many cubes will have no colour?

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

Question 5:

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

How many cubes will have only one colour?

Direction : Study the following information carefully and answer the question given below.
(i) There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
(ii) The two opposite surfaces of 4 cm × 3 cm are painted from outside by yellow colour.
(iii) The other two opposite surfaces of 4 cm × 3 cm are painted from outside by red colour.
(iv) The remaining two surfaces of 3 cm × 3 cm are painted from outside by green colour.
(v) Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are created.

Question 6:

The length, breadth and height of a rectangular (cuboid shaped) wooden block are 10 cm, 8 cm and 6 cm respectively. The two opposite surfaces of 10 cm × 8 cm are coloured from outside by red. The two opposite surfaces of 8 cm × 6 cm are coloured from outside by green. The remaining two surfaces of 10 cm × 6 cm are coloured from outside by yellow. Now, the block is cut in such a way that cubes of 1 cm × 1 cm × 1 cm are made and no part of cuboid get wasted. How many cubes shall have at least two coloured surfaces?

Question 7:

Directions: All the surfaces of a cube are painted with the same color and cut in such a way that 125 small and equal cubes can be made.

What will be the number of such cubes whose surface will not be colored?

Question 8:

Directions: All the surfaces of a cube are painted with the same color and cut in such a way that 125 small and equal cubes can be made.

What will be the number of such cubes whose only one surface is colored?

Question 9:

Directions: All the surfaces of a cube are painted with the same color and cut in such a way that 125 small and equal cubes can be made.

The number of such cubes will be, Whose only two surfaces will be colored?

Question 10:

Total surface area of a cube is 384 sq $\mathrm{cm}$. Find sum of length of all its edges?