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.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
- 2.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 3.A trapezium has parallel sides of 28 cm and 20 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 4.A trapezium has an area of 330 square cm. Its parallel sides are 19 cm and 14 cm. What is the distance between them (in cm)?
- 5.A cuboid is 4 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 6.A trapezium has an area of 198 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
- 7.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
- 8.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
- 9.A cuboid is 10 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 10.A trapezium has an area of 198 square cm. Its parallel sides are 17 cm and 16 cm. What is the distance between them (in cm)?
- 11.A trapezium has an area of 135 square cm. Its parallel sides are 25 cm and 29 cm. What is the distance between them (in cm)?
- 12.A cuboid is 7 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 13.A trapezium has an area of 300 square cm. Its parallel sides are 25 cm and 5 cm. What is the distance between them (in cm)?
- 14.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 15.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 16.A cuboid is 7 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 17.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
- 18.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
- 19.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
- 20.A trapezium has parallel sides of 15 cm and 17 cm, and the distance between them is 17 cm. What is its area (in square cm)?
- 21.A trapezium has an area of 68 square cm. Its parallel sides are 11 cm and 6 cm. What is the distance between them (in cm)?
- 22.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
- 23.A trapezium has parallel sides of 27 cm and 13 cm, and the distance between them is 15 cm. What is its area (in square cm)?
- 24.A trapezium has an area of 162 square cm. Its parallel sides are 17 cm and 10 cm. What is the distance between them (in cm)?
- 25.A cuboid is 8 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 26.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
- 27.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 28.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
- 29.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 30.A trapezium has parallel sides of 11 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
- 31.A trapezium has parallel sides of 8 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 32.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 33.A trapezium has an area of 264 square cm. Its parallel sides are 27 cm and 21 cm. What is the distance between them (in cm)?
- 34.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 35.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
- 36.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
- 37.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
- 38.A trapezium has an area of 189 square cm. Its parallel sides are 20 cm and 7 cm. What is the distance between them (in cm)?
- 39.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
- 40.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
Answer key
- 96
- 12
- 72
- 20
- 108
- 18
- 294
- 96
- 360
- 12
- 5
- 378
- 20
- 5
- 384
- 370
- 8
- 3456
- 7
- 272
- 8
- 70
- 300
- 12
- 172
- 96
- 10
- 486
- 216
- 272
- 225
- 2646
- 11
- 2400
- 17
- 80
- 80
- 14
- 20
- 150
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