Mastering Surface Area

Mathematics
Grade 7
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A worksheet covering Surface Area for Grade 7 students.

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Mastering Surface Area

Subject: MathematicsGrade: Grade 7
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Date:

Untitled Worksheet

Grade Grade 7
A

Introduction

Review the formulas for surface area: - Surface area of a cube = 6 × side² - Surface area of a cuboid = 2(lw + lh + wh) - Surface area of a cylinder = 2πr(h + r) Use these formulas to solve the following questions.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a cube with a side length of 4 cm.
[2 marks]
2.
A rectangular box has length 5 cm, width 3 cm, and height 2 cm. Find its surface area.
[2 marks]
3.
What is the surface area of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)
[3 marks]
4.
A cube has a surface area of 150 cm². What is the length of one side?
[2 marks]
5.
Calculate the surface area of a cuboid with dimensions 8 cm by 6 cm by 4 cm.
[2 marks]
6.
A cylindrical water tank has radius 2.5 m and height 4 m. Find its surface area (use π ≈ 3.14).
[3 marks]
7.
If a cube's surface area is 384 cm², what is its volume?
[3 marks]
8.
A rectangular prism has dimensions 10 cm, 4 cm, and 3 cm. Find its surface area.
[2 marks]
9.
A cylindrical can has radius 7 cm and height 15 cm. Calculate the total surface area.
[3 marks]
10.
Challenge: A rectangular box is 12 cm long, 8 cm wide, and 6 cm high. Find the surface area. Then, if the box is painted on all sides, how much paint is needed if 1 square cm requires 0.05 units of paint?
[4 marks]
11.
Real-world application: A storage tank in the shape of a cylinder has radius 4 meters and height 6 meters. How much material is needed to make the tank if it is covered on all sides? Use π ≈ 3.14.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet