Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 141 · 40 sums

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).

1. 1.A trapezium has an area of 224 square cm. Its parallel sides are 10 cm and 18 cm. What is the distance between them (in cm)?
2. 2.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
3. 3.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
4. 4.A trapezium has an area of 360 square cm. Its parallel sides are 29 cm and 7 cm. What is the distance between them (in cm)?
5. 5.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
6. 6.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
7. 7.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
8. 8.A trapezium has an area of 66 square cm. Its parallel sides are 20 cm and 24 cm. What is the distance between them (in cm)?
9. 9.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
10. 10.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
11. 11.A trapezium has an area of 29 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
12. 12.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
13. 13.A trapezium has parallel sides of 19 cm and 16 cm, and the distance between them is 16 cm. What is its area (in square cm)?
14. 14.The diagonals of a rhombus are 6 cm and 26 cm. What is its area (in square cm)?
15. 15.A trapezium has an area of 169 square cm. Its parallel sides are 6 cm and 20 cm. What is the distance between them (in cm)?
16. 16.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
17. 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
18. 18.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
19. 19.A trapezium has parallel sides of 26 cm and 20 cm, and the distance between them is 11 cm. What is its area (in square cm)?
20. 20.A trapezium has parallel sides of 25 cm and 15 cm, and the distance between them is 2 cm. What is its area (in square cm)?
21. 21.A cuboid is 7 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
23. 23.A cuboid is 7 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
24. 24.A trapezium has parallel sides of 21 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
25. 25.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
26. 26.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
27. 27.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
28. 28.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
29. 29.A cuboid is 10 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 28 cm and 14 cm. What is its area (in square cm)?
31. 31.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
33. 33.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
34. 34.A cuboid is 15 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 400 square cm. Its parallel sides are 23 cm and 27 cm. What is the distance between them (in cm)?
36. 36.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
37. 37.A cuboid is 14 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
38. 38.A trapezium has parallel sides of 19 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
39. 39.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
40. 40.A trapezium has parallel sides of 14 cm and 19 cm, and the distance between them is 18 cm. What is its area (in square cm)?

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