Surface Areas And Volumes Practice 1: Combined Solids And Formula Choice

Practise focused skills from Surface Areas and Volumes

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: Core Ideas · 5 questionsSection B: Apply and Check · 5 questions

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Section A: Core Ideas

Build the core vocabulary and setup.

Choose the best answer for each question.

Question 1

EasyQuestion

A toy is made by placing a cone on top of a cylinder with the same radius. What are the component solids?

Topic: Solid Recognition · Skill: Identify component solids in a combination

Question 2

MediumQuestion

For a cylinder closed at both ends, which area is its total surface area?

Topic: Surface Area Concepts · Skill: Distinguish TSA, CSA and exposed area

Question 3

MediumQuestion

A solid consists of a cylinder of volume $300\text{ cm}^3$ and a cone of volume $100\text{ cm}^3$ joined together. What is the total volume?

Topic: Volume Concepts · Skill: Add volumes of combined solids

Question 4

MediumQuestion

A cuboid of volume $1000\text{ cm}^3$ has a cylindrical hole of volume $120\text{ cm}^3$ removed. What is the remaining volume?

Topic: Volume Concepts · Skill: Subtract volumes for hollow or removed parts

Question 5

AdvancedQuestion

A cylindrical pipe is attached to a cuboid tank. Which pair of formulas may be needed for volume?

Topic: Cylinder Combinations · Skill: Solve cylinder-cuboid combinations

What this assignment covers

Recognise component solids and select surface or volume formulas.

Skills and sections

Identify component solids in a combination, Distinguish TSA, CSA and exposed area, Add volumes of combined solids, Subtract volumes for hollow or removed parts, Solve cylinder-cuboid combinations

Section A: Core Ideas: 5 questions
Section B: Apply and Check: 5 questions