Cube and Cuboid Questions and Answers

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Q1
&nbsp;The following questions are based on the information given below: <div>&nbsp;</div> <div>A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.</div> <div>Two faces measuring 4 cm x 1 cm are coloured in black.</div> <div>Two faces measuring 6 cm x 1 cm are coloured in red.</div> <div>Two faces measuring 6 cm x 4 cm are coloured in green.</div> <div>The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).</div> <div> <div>1. How many cubes having red, green and black colours on at least one side of the cube will be formed ?</div> <div>&nbsp;</div> <div>&nbsp;</div> &nbsp;</div>
  • A 16
  • B 12
  • C 10
  • D 4
Answer: Option D
Q2
&nbsp;The following questions are based on the information given below: <div>&nbsp;</div> <div>A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.</div> <div>Two faces measuring 4 cm x 1 cm are coloured in black.</div> <div>Two faces measuring 6 cm x 1 cm are coloured in red.</div> <div>Two faces measuring 6 cm x 4 cm are coloured in green.</div> <div>The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side). <div>How many small cubes will be formed ?</div> <div>&nbsp;</div> <div>A.<span class="Apple-tab-span" style="white-space:pre"> </span>6<span class="Apple-tab-span" style="white-space:pre"> </span>B.<span class="Apple-tab-span" style="white-space:pre"> </span>12</div> <div>C.<span class="Apple-tab-span" style="white-space:pre"> </span>16<span class="Apple-tab-span" style="white-space:pre"> </span>D.<span class="Apple-tab-span" style="white-space:pre"> </span>24</div> <div>Answer &amp; Explanation</div> <div>Answer: Option D How many cubes will have 4 coloured sides and two non-coloured sides ?</div> &nbsp;</div>
  • A 8
  • B 4
  • C 16
  • D 10
Answer: Option B
Q3
&nbsp;The following questions are based on the information given below: <div>&nbsp;</div> <div>A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.</div> <div>Two faces measuring 4 cm x 1 cm are coloured in black.</div> <div>Two faces measuring 6 cm x 1 cm are coloured in red.</div> <div>Two faces measuring 6 cm x 4 cm are coloured in green.</div> <div>The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side). How many cubes will have green colour on two sides and rest of the four sides having no colour ? &nbsp;</div>
  • A 12
  • B 10
  • C 8
  • D 4
Answer: Option C
Q4
&nbsp;The following questions are based on the information given below: <div>&nbsp;</div> <div>A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.</div> <div>Two faces measuring 4 cm x 1 cm are coloured in black.</div> <div>Two faces measuring 6 cm x 1 cm are coloured in red.</div> <div>Two faces measuring 6 cm x 4 cm are coloured in green.</div> <div>The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).</div> <div>How many cubes will remain if the cubes having black and green coloured are removed ?</div>
  • A 4
  • B 8
  • C 12
  • D 16
Answer: Option D
Q5
How many small cubes are there in a 3x3x3 Rubik's Cube?
  • A 26
  • B 27
  • C 28
  • D 29
Answer: Option B
Explanation: A 3x3x3 cube has 3 layers of 9 small cubes each, totaling 27 cubes.
Q6
A cube has how many faces?
  • A 4
  • B 6
  • C 8
  • D 12
Answer: Option B
Explanation: A cube is a three-dimensional shape with six equal square faces.
Q7
How many edges does a cube have?
  • A 8
  • B 12
  • C 6
  • D 10
Answer: Option B
Explanation: A cube has 12 edges where two faces meet.
Q8
How many vertices does a cube have?
  • A 6
  • B 8
  • C 12
  • D 10
Answer: Option B
Explanation: A vertex is a corner point where three edges meet. A cube has 8 vertices.
Q9
If a large cube is painted on all faces and cut into 64 smaller equal cubes, how many small cubes have exactly two faces painted?
  • A 16
  • B 24
  • C 32
  • D 8
Answer: Option B
Explanation: In a 4x4x4 cube, cubes with exactly two faces painted are along the edges but not at corners. There are 12 edges with 2 cubes each having two painted faces.
Q10
A cuboid has dimensions 4cm x 3cm x 2cm. What is its volume?
  • A 18 cm³
  • B 24 cm³
  • C 36 cm³
  • D 48 cm³
Answer: Option B
Explanation: Volume of cuboid = length × width × height = 4 × 3 × 2 = 24 cm³
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