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 trapezium has an area of 230 square cm. Its parallel sides are 10 cm and 13 cm. What is the distance between them (in cm)?
- 2.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 3.A trapezium has an area of 423 square cm. Its parallel sides are 18 cm and 29 cm. What is the distance between them (in cm)?
- 4.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
- 5.A trapezium has an area of 288 square cm. Its parallel sides are 22 cm and 26 cm. What is the distance between them (in cm)?
- 6.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
- 7.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 8.A trapezium has an area of 32 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
- 9.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
- 10.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 11.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
- 12.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
- 13.A trapezium has parallel sides of 6 cm and 2 cm, and the distance between them is 9 cm. What is its area (in square cm)?
- 14.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
- 15.A room is 7 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
- 16.A trapezium has parallel sides of 5 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 17.A trapezium has an area of 35 square cm. Its parallel sides are 12 cm and 2 cm. What is the distance between them (in cm)?
- 18.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
- 19.The diagonals of a rhombus are 30 cm and 7 cm. What is its area (in square cm)?
- 20.A cuboid is 11 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 21.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 22.The diagonals of a rhombus are 16 cm and 18 cm. What is its area (in square cm)?
- 23.A room is 5 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
- 24.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
- 25.A trapezium has parallel sides of 6 cm and 8 cm, and the distance between them is 5 cm. What is its area (in square cm)?
- 26.A cuboid is 7 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 27.A trapezium has an area of 27 square cm. Its parallel sides are 14 cm and 13 cm. What is the distance between them (in cm)?
- 28.The diagonals of a rhombus are 4 cm and 17 cm. What is its area (in square cm)?
- 29.A cuboid is 13 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 30.The diagonals of a rhombus are 8 cm and 19 cm. What is its area (in square cm)?
- 31.The diagonals of a rhombus are 18 cm and 22 cm. What is its area (in square cm)?
- 32.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
- 33.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 34.A trapezium has parallel sides of 30 cm and 19 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 35.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
- 36.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 37.The diagonals of a rhombus are 10 cm and 27 cm. What is its area (in square cm)?
- 38.A trapezium has parallel sides of 18 cm and 8 cm, and the distance between them is 11 cm. What is its area (in square cm)?
- 39.A trapezium has an area of 138 square cm. Its parallel sides are 13 cm and 10 cm. What is the distance between them (in cm)?
- 40.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
Answer key
- 20
- 600
- 18
- 24
- 12
- 1536
- 1734
- 2
- 486
- 384
- 2
- 104
- 36
- 120
- 100
- 105
- 5
- 16
- 105
- 318
- 54
- 144
- 60
- 1944
- 35
- 276
- 2
- 34
- 112
- 76
- 198
- 1350
- 150
- 245
- 6
- 2400
- 135
- 143
- 12
- 72
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