Q1: Directions: A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes so obtained are now separated.
How many smaller cubes have two surfaces painted with red colour?
(a) 24
(b) 8
(c) 12
(d) 20
Ans: (a)
Q2: Directions: A cube is coloured red on all of its faces. It is then cut into 64 smaller cubes of equal size. The smaller cubes so obtained are now separated.
How many smaller cubes have no face coloured?
(a) 24
(b) 16
(c) 8
(d) 10
Ans: (c)
Q3: Directions: Observe the figure of a plane view of a cube and answer the given questions following it. Which two faces will be opposite to each other?
(a) P and R
(b) Q and S
(c) P and U
(d) Q and U
Ans: (a)
Q4: Directions: Observe the figure of a plane view of a cube and answer the given questions following it. Which face will be at top if face "T" will be at the bottom?
(a) Q
(b) R
(c) S
(d) U
Ans: (c)
Q5: Directions: Observe the figure of a plane view of a cube and answer the given questions following it. Which face will be opposite to face "T" after folding a cube?
(a) P
(b) Q
(c) R
(d) S
Ans: (c)
Q6: What is the maximum number of identical pieces a cube can be cut into by 7 cuts?
(a) 27
(b) 36
(c) 38
(d) 49
Ans: (b)
Q7: What is the least number of cuts required to cut a cube into 24 identical pieces?
(a) 5
(b) 6
(c) 7
(d) 8
Ans: (a)
Q8: Count the number of cubes in the given figure.
(a) 64
(b) 66
(c) 68
(d) 70
Ans: (c)
Q9: Count the number of cubes in the given figure.
(a) 25
(b) 30
(c) 32
(d) 34
Ans: (b)
Q10: Count the number of blocks in the given figure.
(a) 6
(b) 7
(c) 8
(d) 9
Ans: (b)
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