Mensuration Class 8 Maths Worksheet with Quiz and Activities
Practise mensuration: area of a trapezium and rhombus, surface area and volume of cubes, cuboids and cylinders. On WitKnowLearn you get the Mensuration Class 8 online quiz, online activities and interactive games, a mensuration lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Mensuration Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Mensuration Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Mensuration: Area, Surface Area and Volume
A short read for Class 8 before you play. These notes cover Mensuration: Area, Surface Area and Volume.
📐 Area of a trapezium and rhombus
The area of a trapezium is half the sum of its parallel sides times the height. The area of a rhombus is half the product of its diagonals. A trapezium with sides 6 and 10 and height 4 has area 32.
🧊 Cubes and cuboids
A cube of side a has volume a³ and total surface area 6a². A cuboid has volume l × b × h and surface area 2(lb + bh + hl). A 5 by 4 by 3 cuboid has volume 60 and surface area 94.
🥫 Cylinders and units
A cylinder has volume πr²h and curved surface area 2πrh. Area is measured in square units and volume in cubic units, and 1 cubic metre equals 1000 litres.
Mensuration Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Mensuration: Area, Surface Area and Volume for Class 8 maths. It covers the area of a trapezium and a rhombus, the surface area and volume of cubes, cuboids and cylinders, and units of area and volume.
The activities are pitched at Class 8 level. Sort area and volume situations, apply the formulas in labs and build a 5 by 4 by 3 cuboid layer by layer in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Solid | Volume | Surface area |
|---|---|---|
| Cube | a³ | 6a² |
| Cuboid | l × b × h | 2(lb + bh + hl) |
| Cylinder | πr²h | 2πr(r + h) |
How to use this page
- Flip the six cards and try the Mensuration Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and build a cuboid layer by layer in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
22/7 × 49 × 10 = 1540.
6 × 25 = 150.
This Mensuration worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Mensuration
This guide is for Class 8 students, parents and teachers. It covers Mensuration: Area, Surface Area and Volume for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Mensuration
Mensuration is the measurement of shapes and solids. This topic shows how to find areas, surface areas and volumes with the right formula and unit.
What is there in this chapter
- Area of a trapezium
- Area of a rhombus
- Cubes and cuboids
- Cylinders
- Units and conversions
Learning objectives
- Find the area of a trapezium and rhombus.
- Find the surface area and volume of a cube and cuboid.
- Find the volume and curved area of a cylinder.
- Choose the right units.
- Reason with assertions and case studies.
Learning outcomes
- I can find areas of a trapezium and rhombus.
- I can find surface area and volume.
- I can use the correct units.
Mensuration Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Mensuration Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that builds a cuboid layer by layer |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Trapezium | ½ × (a + b) × h |
| Rhombus | ½ × d1 × d2 |
| Cube | volume a³ |
| Cuboid | l × b × h |
| Cylinder | πr²h |
Types of questions you may see
- Area of a trapezium or rhombus
- Assertion and reason on cube volume
- Case study on a water tank
- Surface area of cubes and cuboids
Solved examples
Volume 60 m³ and 60 × 1000 = 60000 litres.
½ × 30 × h = 150, so h = 10.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Using square units for volume | Volume needs cubic units |
| Forgetting the half in a trapezium | Area = ½ × (a + b) × h |
| Using slant length as height | Height is the perpendicular distance |
Mensuration in daily life
Mensuration helps to find the paint for a wall, the water in a tank, the cloth for a cover, the sand in a box and the size of a can.
Tips for parents and teachers
- Write the formula first.
- Check the unit: square for area, cubic for volume.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- 🧊Class 8 Maths Worksheet: Visualizing Solid Shapes
- 📐Class 8 Maths Worksheet: Understanding Quadrilaterals
- 💠Class 8 Maths Worksheet: Special Quadrilaterals
- 🧊Class 8 Maths Worksheet: Cubes and Cube Roots
- 🧠Class 8 Maths Notes and Mind Maps
- 📚Class 8 Maths Worksheets, page 1
- 📚Class 8 Maths Worksheets, page 2
- 📚Class 8 Maths Worksheets, page 3
Mensuration Class 8 FAQs
What is the area of a trapezium?
It is half the sum of the parallel sides times the height between them.
What is the area of a rhombus?
It is half the product of its two diagonals.
How do I find the surface area of a cuboid?
Use 2(lb + bh + hl), which adds the areas of all six faces.
What is the volume of a cylinder?
It is πr²h, the base area times the height.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Mensuration Lab, do two virtual experiments, build a cuboid layer by layer in the layers and table views,, and fill in a 16-question practice sheet with a Show answers button.
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