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).
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- 1.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 2.A trapezium has parallel sides of 24 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 3.A trapezium has parallel sides of 27 cm and 12 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 4.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
- 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 6.A trapezium has an area of 240 square cm. Its parallel sides are 19 cm and 21 cm. What is the distance between them (in cm)?
- 7.A cuboid is 7 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 8.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
- 9.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 10.A trapezium has parallel sides of 15 cm and 16 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 11.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 12.A cuboid is 8 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 13.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 14.A cuboid is 3 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 15.A trapezium has an area of 165 square cm. Its parallel sides are 27 cm and 3 cm. What is the distance between them (in cm)?
- 16.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 17.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
- 18.A cuboid is 5 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 19.A cuboid is 10 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 20.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
- 21.A room is 7 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 22.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
- 23.A trapezium has parallel sides of 29 cm and 22 cm, and the distance between them is 10 cm. What is its area (in square cm)?
- 24.A cuboid is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 25.A room is 9 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
- 26.A trapezium has an area of 432 square cm. Its parallel sides are 28 cm and 20 cm. What is the distance between them (in cm)?
- 27.A cuboid is 9 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 28.A trapezium has an area of 180 square cm. Its parallel sides are 6 cm and 12 cm. What is the distance between them (in cm)?
- 29.A cuboid is 7 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 30.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 31.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
- 32.A trapezium has parallel sides of 13 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 33.The diagonals of a rhombus are 24 cm and 14 cm. What is its area (in square cm)?
- 34.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
- 35.A cuboid is 4 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 36.A trapezium has an area of 135 square cm. Its parallel sides are 27 cm and 18 cm. What is the distance between them (in cm)?
- 37.A trapezium has an area of 160 square cm. Its parallel sides are 26 cm and 6 cm. What is the distance between them (in cm)?
- 38.A trapezium has an area of 224 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
- 39.A trapezium has parallel sides of 9 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 40.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
Answer key
- 2904
- 40
- 351
- 102
- 3
- 12
- 262
- 36
- 4
- 31
- 3750
- 348
- 66
- 54
- 11
- 136
- 1536
- 236
- 372
- 864
- 102
- 9
- 255
- 240
- 128
- 18
- 150
- 20
- 442
- 48
- 72
- 180
- 168
- 72
- 88
- 6
- 10
- 16
- 18
- 128
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