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 5 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 2.A trapezium has parallel sides of 10 cm and 22 cm, and the distance between them is 11 cm. What is its area (in square cm)?
- 3.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 4.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 5.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
- 6.A trapezium has an area of 245 square cm. Its parallel sides are 18 cm and 17 cm. What is the distance between them (in cm)?
- 7.A cuboid is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 8.A cuboid is 10 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 9.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
- 10.A room is 5 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
- 11.A cuboid is 13 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 12.A trapezium has parallel sides of 12 cm and 16 cm, and the distance between them is 13 cm. What is its area (in square cm)?
- 13.A cuboid is 5 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 14.A cuboid is 5 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 15.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 16.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
- 17.A trapezium has parallel sides of 8 cm and 2 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 18.A trapezium has an area of 105 square cm. Its parallel sides are 20 cm and 15 cm. What is the distance between them (in cm)?
- 19.A trapezium has an area of 189 square cm. Its parallel sides are 4 cm and 23 cm. What is the distance between them (in cm)?
- 20.A trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 21.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 22.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 23.A trapezium has parallel sides of 18 cm and 26 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 24.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 25.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 26.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
- 27.A cuboid is 4 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 28.A cuboid is 13 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 29.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
- 30.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
- 31.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?
- 32.A cuboid is 10 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 33.A cuboid is 15 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 34.A trapezium has parallel sides of 18 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 35.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
- 36.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
- 37.A trapezium has an area of 102 square cm. Its parallel sides are 5 cm and 7 cm. What is the distance between them (in cm)?
- 38.A trapezium has an area of 208 square cm. Its parallel sides are 10 cm and 16 cm. What is the distance between them (in cm)?
- 39.A trapezium has parallel sides of 23 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 40.The diagonals of a rhombus are 12 cm and 12 cm. What is its area (in square cm)?
Answer key
- 236
- 176
- 84
- 12
- 28
- 14
- 112
- 164
- 80
- 120
- 382
- 182
- 160
- 340
- 84
- 72
- 60
- 6
- 14
- 69
- 54
- 4
- 66
- 276
- 2646
- 114
- 304
- 346
- 150
- 65
- 150
- 304
- 576
- 81
- 2
- 95
- 17
- 16
- 129
- 72
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