Surface Areas And Volumes Practice 2: Volumes And Hollow Solids

Practise focused skills from Surface Areas and Volumes

MathematicsGrade 10Mixed10 questions20 min

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Section A: Skill Practice · 5 questionsSection B: Application · 5 questions

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Section A: Skill Practice

Practise procedure and formula selection.

Choose the best answer for each question.

Question 1

AdvancedQuestion

A cylindrical tank is open at the top. To find metal sheet needed, which surface area is counted?

Topic: Real-life Applications · Skill: Solve container and material problems

Question 2

AdvancedQuestion

Two cubes are glued face-to-face. Which surfaces should not be counted in exposed surface area?

Topic: Visualisation · Skill: Identify hidden and shared surfaces

Question 3

MediumQuestion

Which measurement is needed for the curved surface area of a cone?

Topic: Formula Selection · Skill: Choose correct formula from shape features

Question 4

AdvancedQuestion

A student uses $\pi r^2h$ to find the amount of paint for the outside of a cylinder. What is wrong?

Topic: Error Analysis · Skill: Avoid surface area-volume confusion

Question 5

MediumQuestion

Which approach best matches the skill: identify component solids in a combination?

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

What this assignment covers

Add and subtract volumes in composite solids.

Skills and sections

Solve container and material problems, Identify hidden and shared surfaces, Choose correct formula from shape features, Avoid surface area-volume confusion, Identify component solids in a combination

Section A: Skill Practice: 5 questions
Section B: Application: 5 questions