Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 202 · 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.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
2. 2.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
3. 3.A trapezium has an area of 248 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?
4. 4.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
5. 5.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
6. 6.A trapezium has parallel sides of 27 cm and 9 cm, and the distance between them is 12 cm. What is its area (in square cm)?
7. 7.A trapezium has an area of 195 square cm. Its parallel sides are 28 cm and 11 cm. What is the distance between them (in cm)?
8. 8.A trapezium has an area of 450 square cm. Its parallel sides are 29 cm and 16 cm. What is the distance between them (in cm)?
9. 9.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
10. 10.A cuboid is 7 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 144 square cm. Its parallel sides are 14 cm and 4 cm. What is the distance between them (in cm)?
12. 12.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
13. 13.A trapezium has parallel sides of 8 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
14. 14.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
15. 15.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
16. 16.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
17. 17.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
18. 18.A cuboid is 14 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
19. 19.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
20. 20.A cuboid is 12 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
21. 21.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.A trapezium has parallel sides of 19 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
23. 23.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
24. 24.A trapezium has an area of 39 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
25. 25.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
26. 26.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
27. 27.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
28. 28.The diagonals of a rhombus are 8 cm and 7 cm. What is its area (in square cm)?
29. 29.A trapezium has an area of 99 square cm. Its parallel sides are 18 cm and 15 cm. What is the distance between them (in cm)?
30. 30.A trapezium has an area of 140 square cm. Its parallel sides are 13 cm and 22 cm. What is the distance between them (in cm)?
31. 31.A trapezium has parallel sides of 4 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
32. 32.A trapezium has an area of 17 square cm. Its parallel sides are 14 cm and 3 cm. What is the distance between them (in cm)?
33. 33.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
35. 35.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
36. 36.A trapezium has parallel sides of 24 cm and 6 cm, and the distance between them is 9 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
38. 38.The diagonals of a rhombus are 4 cm and 19 cm. What is its area (in square cm)?
39. 39.A cuboid is 5 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
40. 40.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?

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