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Practice each question, then open the answer or worked solution.
All six faces of a cuboid are __________ in shape and of ______ area.
Solution: Rectangular shape, different
Explanation:
It is known that a cuboid is made up of 6 rectangular faces which different lengths and breadths. Hence, it has a different area.
Opposite faces of a cuboid are _________ in area.
Solution: Equal
Explanation:
A cuboid is made up of 6 rectangular faces, but the opposite sides have equal length and breadth. Hence, the opposite areas are equal.
Curved surface area of a cylinder of radius h and height r is _______.
Solution: 2πrh
Explanation:
The CSA of a cylinder with radius “r” and height “h” is
CSA = 2π(r)(h)
Total surface area of a cylinder of radius h and height r is _________
Solution: 2πh(r + h)
Explanation:
Given radius = h and height = r
TSA of cylinder = CSA of cylinder + Area of top surface + Base area
TSA = 2πrh + πh2 + πh2 = 2πh(r + h)
Volume of a cylinder with radius h and height r is __________.
Solution: πh2r cubic units
Area of a rhombus =1/2 product of _________.
Solution: Diagonals
Explanation:
We know that the area of a rhombus = pq/2
Where p and q are diagonals.
Two cylinders, A and B, are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth, respectively. Then, the volume of A is ________ of the volume of B.
Solution: Twice
Explanation:
Rectangular sheet dimension is 20 cm × 10 cm
When a cylinder is folded along its length, which is 20 cm, then the resultant cylinder is with height 10 cm.
Again, if a cylinder is folded along its breadth, which is 10 cm, then the resultant cylinder is with height 20 cm
When the above conditions are applied in the volume of cylinder formula,
Then we get v = 2V
In the above question, the curved surface area of A is ________ curved surface area of B.
Solution: Same
Explanation:
For cylinder A, h= 10 cm and r = 10/π
Thus, CSA of cylinder A = 2πrh = 200
For cylinder B, h= 12 cm and r = 5/π
Thus, CSA of cylinder B = 2πrh = 200
__________ of a solid is the measurement of the space occupied by it.
Solution: Volume
Explanation:
The space occupied by any solids or three-dimensional shape is always measured in terms of volume.
__________ surface area of room = area of 4 walls.
Solution: Lateral
Explanation:
We know that the rooms are cuboid in shape, and the walls are considered as the lateral faces of the cuboid-shaped room.