Class 8 Maths Worksheet: Mensuration
The method (Flat parts add up): Trapezium: area = ½ × (a + b) × h. Rhombus: area = ½ × d₁ × d₂. Cuboid: total surface area = 2(lb + bh + hl); four walls = 2h(l + b). Cube: total surface area = 6a²; edge = √(surface area ÷ 6). Missing height of a trapezium = 2 × area ÷ (a + b).
NameDateTime takenScore ___ / 40
- 1.A cuboid is 11 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 2.A cuboid is 7 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 3.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?
- 4.A trapezium has an area of 184 square cm. Its parallel sides are 17 cm and 6 cm. What is the distance between them (in cm)?
- 5.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
- 6.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
- 7.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 8.A cuboid is 6 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 9.The diagonals of a rhombus are 6 cm and 23 cm. What is its area (in square cm)?
- 10.A trapezium has an area of 39 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
- 11.A trapezium has an area of 42 square cm. Its parallel sides are 10 cm and 4 cm. What is the distance between them (in cm)?
- 12.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 13.A room is 9 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 14.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 15.The diagonals of a rhombus are 12 cm and 27 cm. What is its area (in square cm)?
- 16.A cuboid is 15 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 17.A cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 18.A cuboid is 6 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 19.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
- 20.A trapezium has an area of 32 square cm. Its parallel sides are 21 cm and 11 cm. What is the distance between them (in cm)?
- 21.The diagonals of a rhombus are 8 cm and 25 cm. What is its area (in square cm)?
- 22.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 23.A trapezium has an area of 40 square cm. Its parallel sides are 5 cm and 11 cm. What is the distance between them (in cm)?
- 24.A cuboid is 8 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 25.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 26.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
- 27.A trapezium has an area of 153 square cm. Its parallel sides are 8 cm and 10 cm. What is the distance between them (in cm)?
- 28.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 29.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 30.A cuboid is 10 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 31.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
- 32.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 33.A cuboid is 5 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 34.A trapezium has parallel sides of 7 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 35.A trapezium has an area of 72 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
- 36.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
- 37.A trapezium has parallel sides of 9 cm and 10 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 38.A trapezium has an area of 243 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
- 39.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 40.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
Answer key
- 356
- 350
- 180
- 16
- 864
- 96
- 96
- 324
- 69
- 3
- 6
- 159
- 114
- 208
- 162
- 474
- 124
- 376
- 78
- 2
- 100
- 42
- 5
- 320
- 126
- 7
- 17
- 360
- 2400
- 332
- 20
- 2646
- 132
- 204
- 6
- 1944
- 95
- 18
- 9
- 130
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