Class 8 Maths Mensuration Worksheet — Free Printable PDF
Download a free Class 8 Maths worksheet on Mensuration with MCQs, fill in the blanks and short answer questions. Complete answer key included. Personalized to your class, subject and chapter.
⭐ MeritMate — Class 8 Maths: Mensuration
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. The area of a trapezium with parallel sides 8 cm and 12 cm and height 5 cm is:
a) 40 sq cm
b) 50 sq cm
c) 100 sq cm
d) 60 sq cm
Q2. The volume of a cube with side 4 cm is:
a) 16 cubic cm
b) 48 cubic cm
c) 64 cubic cm
d) 32 cubic cm
Q3. The lateral surface area of a cylinder with radius 7 cm and height 10 cm is:
a) 220 sq cm
b) 440 sq cm
c) 880 sq cm
d) 154 sq cm
Q4. A rhombus has diagonals of length 10 cm and 8 cm. Its area is:
a) 80 sq cm
b) 20 sq cm
c) 40 sq cm
d) 18 sq cm
Q5. The total surface area of a cuboid with length 5 cm, breadth 3 cm and height 2 cm is:
a) 30 sq cm
b) 62 sq cm
c) 31 sq cm
d) 48 sq cm
Section B: Fill in the Blanks
Q6. The formula for the area of a trapezium is 1/2 times the sum of parallel sides times ________.
Q7. The volume of a cylinder is given by the formula pi times r squared times ________.
Q8. If the side of a square is doubled, its area becomes ________ times the original area.
Q9. The lateral surface area of a cuboid is given by 2 times height times the sum of ________.
Q10. A field is in the shape of a rhombus with diagonals 40 m and 25 m. Its area is ________.
Section C: Short Answer Questions
Q11. Find the area of a quadrilateral ABCD whose diagonal is 20 cm long and the perpendiculars from the opposite vertices to this diagonal are 8 cm and 5 cm respectively.
Q12. The volume of a cuboidal tank is 1800 cubic metres. Its length is 15 m and breadth is 12 m. Find the depth of the tank.
Q13. A cylindrical pillar has radius 28 cm and height 4 m. Find the cost of painting its curved surface at the rate of Rs 8 per sq m.
Q14. Find the height of a cuboid whose volume is 756 cubic cm, length is 12 cm and breadth is 7 cm.
Q15. The area of a trapezium shaped field is 480 sq m. The distance between the two parallel sides is 15 m and one of the parallel sides is 20 m. Find the length of the other parallel side.
⭐ Answer Key
Class 8 · Maths · MensurationAnswer Key
Q1. Answer: b) 50 sq cm
Area of trapezium = 1/2 times (8 + 12) times 5 = 1/2 times 20 times 5 = 50 sq cm
Q2. Answer: c) 64 cubic cm
Volume of cube = side cubed = 4 times 4 times 4 = 64 cubic cm
Q3. Answer: b) 440 sq cm
Lateral surface area = 2 times pi times r times h = 2 times 22/7 times 7 times 10 = 440 sq cm
Q4. Answer: c) 40 sq cm
Area of rhombus = 1/2 times d1 times d2 = 1/2 times 10 times 8 = 40 sq cm
Q5. Answer: b) 62 sq cm
Total surface area = 2 times (lb + bh + lh) = 2 times (15 + 6 + 10) = 2 times 31 = 62 sq cm
Q6. Answer: height
Q7. Answer: height (h)
Q8. Answer: 4
Q9. Answer: length and breadth (l + b)
Q10. Answer: 500 sq m
Area = 1/2 times 40 times 25 = 500 sq m
Q11. Area of quadrilateral = 1/2 times diagonal times sum of perpendiculars
= 1/2 times 20 times (8 + 5)
= 1/2 times 20 times 13
= 130 sq cm
Q12. Volume = length times breadth times depth
1800 = 15 times 12 times depth
1800 = 180 times depth
Depth = 1800 divided by 180 = 10 m
Q13. Radius = 28 cm = 0.28 m, Height = 4 m
Curved surface area = 2 times pi times r times h
= 2 times 22/7 times 0.28 times 4
= 7.04 sq m
Cost = 7.04 times 8 = Rs 56.32
Q14. Volume = length times breadth times height
756 = 12 times 7 times height
756 = 84 times height
Height = 756 divided by 84 = 9 cm
Q15. Area = 1/2 times (a + b) times h
480 = 1/2 times (20 + b) times 15
480 = 7.5 times (20 + b)
20 + b = 64
b = 44 m
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