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 8 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 2.A trapezium has parallel sides of 16 cm and 9 cm, and the distance between them is 14 cm. What is its area (in square cm)?
- 3.A trapezium has parallel sides of 27 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 4.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 5.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 6.A trapezium has an area of 161 square cm. Its parallel sides are 21 cm and 25 cm. What is the distance between them (in cm)?
- 7.A trapezium has an area of 171 square cm. Its parallel sides are 18 cm and 20 cm. What is the distance between them (in cm)?
- 8.A trapezium has an area of 30 square cm. Its parallel sides are 10 cm and 2 cm. What is the distance between them (in cm)?
- 9.A trapezium has an area of 31 square cm. Its parallel sides are 23 cm and 8 cm. What is the distance between them (in cm)?
- 10.A trapezium has an area of 54 square cm. Its parallel sides are 7 cm and 20 cm. What is the distance between them (in cm)?
- 11.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 12.A trapezium has parallel sides of 26 cm and 2 cm, and the distance between them is 13 cm. What is its area (in square cm)?
- 13.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 14.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
- 15.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
- 16.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 17.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
- 18.A cuboid is 8 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
- 20.A trapezium has parallel sides of 9 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 21.A trapezium has an area of 240 square cm. Its parallel sides are 9 cm and 15 cm. What is the distance between them (in cm)?
- 22.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
- 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 24.A cuboid is 14 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 25.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
- 26.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
- 27.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 17 cm. What is its area (in square cm)?
- 28.A trapezium has parallel sides of 7 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 29.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
- 30.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 31.A cuboid is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 32.A trapezium has an area of 93 square cm. Its parallel sides are 20 cm and 11 cm. What is the distance between them (in cm)?
- 33.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 34.A room is 9 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
- 35.A trapezium has an area of 279 square cm. Its parallel sides are 25 cm and 6 cm. What is the distance between them (in cm)?
- 36.A cuboid is 5 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 37.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
- 38.A trapezium has parallel sides of 25 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 39.A trapezium has an area of 247 square cm. Its parallel sides are 26 cm and 12 cm. What is the distance between them (in cm)?
- 40.A cuboid is 13 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
Answer key
- 160
- 175
- 490
- 5
- 120
- 7
- 9
- 5
- 2
- 4
- 84
- 182
- 10
- 96
- 1944
- 168
- 108
- 280
- 18
- 180
- 20
- 726
- 600
- 376
- 64
- 128
- 340
- 162
- 19
- 88
- 238
- 6
- 2646
- 180
- 18
- 430
- 238
- 315
- 13
- 376
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