Surface Areas And Volumes Final Assessment

Practise focused skills from Surface Areas and Volumes

MathematicsGrade 10Mixed24 questions48 min

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Focus question style

Core Concepts · 6 questionsSkill Practice · 6 questionsApplication and Reasoning · 6 questionsMixed Challenge · 6 questions

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Core Concepts

Review definitions and key facts.

Choose the best answer for each question.

Question 1

MediumQuestion

A hemisphere of volume $72\pi\text{ cm}^3$ is attached to a cylinder of volume $120\pi\text{ cm}^3$ . Find total volume.

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

Question 2

MediumQuestion

In a second review item, 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 3

AdvancedQuestion

In a second review item, 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

Question 4

AdvancedQuestion

In a second review item, a cone is placed on a cylinder of the same radius. Which surface is usually hidden at the joint?

Topic: Cone Combinations · Skill: Solve cone-cylinder combinations

Question 5

AdvancedQuestion

In a second review item, a hemispherical dome sits on a cylinder. For exposed outer surface area, which areas are added?

Topic: Hemisphere Combinations · Skill: Solve hemisphere-cylinder combinations

What this assignment covers

Mixed assessment across surface area, volume and composite solids.

Skills and sections

Add volumes of combined solids, Subtract volumes for hollow or removed parts, Solve cylinder-cuboid combinations, Solve cone-cylinder combinations, Solve hemisphere-cylinder combinations

Core Concepts: 6 questions
Skill Practice: 6 questions
Application and Reasoning: 6 questions
Mixed Challenge: 6 questions