Area, Surface Area & Volume — Year 8 Practice Questions
Work through these Year 8 practice questions on area, surface area and volume. Try each one before revealing the worked solution.
Questions
A circle has diameter 10 cm. Find its circumference. Use π = 3.14.
A circle has radius 4 cm. Find its area. Use π = 3.14.
Find the area of a rectangle 8 cm by 5 cm.
A compound shape is a 6 cm by 4 cm rectangle with a 2 cm by 2 cm square removed. Find its area.
A cuboid measures 5 cm by 3 cm by 2 cm. Find its volume.
A prism has a cross-sectional area of 12 cm² and a length of 9 cm. Find its volume.
A cylinder has radius 3 cm and height 10 cm. Find its volume. Use π = 3.14.
Find the surface area of a cube with edge 4 cm.
Answers & Worked Solutions
Question 1 Solution
Step 1: C = πd = 3.14 × 10.
Step 2: C = 31.4 cm.
Answer: 31.4 cm
Question 2 Solution
Step 1: A = πr² = 3.14 × 4².
Step 2: 3.14 × 16 = 50.24 cm².
Answer: 50.24 cm²
Question 3 Solution
Step 1: Area = length × width.
Step 2: 8 × 5 = 40 cm².
Answer: 40 cm²
Question 4 Solution
Step 1: Rectangle area = 6 × 4 = 24 cm².
Step 2: Square area = 2 × 2 = 4 cm².
Step 3: 24 − 4 = 20 cm².
Answer: 20 cm²
Question 5 Solution
Step 1: Volume = length × width × height.
Step 2: 5 × 3 × 2 = 30 cm³.
Answer: 30 cm³
Question 6 Solution
Step 1: Volume = cross-sectional area × length.
Step 2: 12 × 9 = 108 cm³.
Answer: 108 cm³
Question 7 Solution
Step 1: V = πr²h = 3.14 × 3² × 10.
Step 2: 3.14 × 9 × 10 = 282.6 cm³.
Answer: 282.6 cm³
Question 8 Solution
Step 1: A cube has 6 square faces, each 4 × 4 = 16 cm².
Step 2: 6 × 16 = 96 cm².
Answer: 96 cm²
Build strong foundations in Area, Surface Area & Volume
A free trial class with Teacher Rig helps your Year 8 child master Area, Surface Area & Volume now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Area, Surface Area & Volume develops in IGCSE Mensuration (Cambridge 0580) →