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.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
- 2.A cuboid is 7 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 3.A cuboid is 8 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 4.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
- 5.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
- 6.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 7.A trapezium has parallel sides of 29 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 8.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
- 9.A cuboid is 6 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 10.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
- 11.A trapezium has an area of 90 square cm. Its parallel sides are 24 cm and 21 cm. What is the distance between them (in cm)?
- 12.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 13.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 18 cm. What is its area (in square cm)?
- 14.A cuboid is 14 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 15.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 16.A trapezium has an area of 450 square cm. Its parallel sides are 28 cm and 22 cm. What is the distance between them (in cm)?
- 17.A cuboid is 9 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 18.A trapezium has parallel sides of 22 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 19.A cuboid is 13 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 20.A cuboid is 14 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 21.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
- 22.A cuboid is 6 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 23.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
- 24.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 25.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
- 26.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 27.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
- 28.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
- 29.A trapezium has an area of 195 square cm. Its parallel sides are 14 cm and 16 cm. What is the distance between them (in cm)?
- 30.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 31.The diagonals of a rhombus are 16 cm and 10 cm. What is its area (in square cm)?
- 32.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 33.A cuboid is 9 cm long, 4 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.A room is 8 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 36.A trapezium has an area of 34 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
- 37.A trapezium has parallel sides of 25 cm and 19 cm, and the distance between them is 19 cm. What is its area (in square cm)?
- 38.A room is 6 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
- 39.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
- 40.A cuboid is 7 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
Answer key
- 2
- 232
- 172
- 70
- 864
- 120
- 62
- 170
- 240
- 208
- 4
- 104
- 450
- 248
- 128
- 18
- 190
- 258
- 460
- 528
- 18
- 348
- 96
- 54
- 8
- 168
- 207
- 90
- 13
- 384
- 80
- 4
- 176
- 81
- 128
- 2
- 418
- 90
- 24
- 286
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