Area, surface area and volume
What area, surface area and volume means
You learn how to find the space inside plane shapes and the amount of space solids can hold. This helps you solve word problems on shapes, circles, and simple 3D objects.
What you will practise
- Work out area using the correct formula for each plane shape
- Find the area and circumference of circles with a given radius
- Calculate volume of simple solids from their measurements
- Choose the right units, such as cm² or cm³, for each answer
- Use base, height, radius, length, width, and depth correctly
Before you start
You should already be comfortable with basic multiplication, division, and squares of numbers. It also helps if you can identify common shapes and read measurements accurately.
Not confident yet? Work through Angles and polygons first.
Worked example
One question from this skill's own question bank, shown with its full working.
Find the area of a triangle with base 10 cm and height 6 cm.
- 16 cm²
- 30 cm²
- 60 cm²
- 32 cm²
Working: Area = ½ × base × height = ½ × 10 × 6 = 30 cm².
Common mistakes to avoid
- Using the wrong formula for a shape. Check whether the question asks for area, surface area, or volume.
- Forgetting to square the radius in circle area questions. Always use r², not just r.
- Writing the wrong units. Area uses square units, while volume uses cubic units.
- Mixing up diameter and radius in circle questions. Use the radius unless the question gives the diameter and asks you to convert.
Curriculum and exam alignment
This topic normally appears in Junior High School work on geometry and measurement, where you practise applying formulas to shapes and solids. It also supports BECE-style questions that test accurate calculation and correct units.
Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.
Related skills
Other JHS Geometry & Measurement skills in Maths, at the same point in the course.
Other Maths topics
Related study guides
Core Maths is compulsory and it fails more WASSCE candidates than any other paper. This guide breaks…
The BECE decides SHS placement for every JHS graduate in Ghana. Here is a realistic, week-by-week st…
Exams that assess area, surface area and volume
Junior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.
How this page was produced
This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.
- Written by
- DigiTransact Mastermind editorial team
- Human review
- Not yet. Subject-specialist review is scheduled; this page will say so once it has happened. See which content receives human review.
- Last updated
Spotted a mistake on this page? Report a content correction and we will check it against the source. You can also read our editorial policy and how we use AI and where it falls short.
Practise area, surface area and volume
6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.