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Questions and Answers
A rectangular prism has a length of 8cm, a width of 5cm, and a height of 3cm. What is its surface area?
A rectangular prism has a length of 8cm, a width of 5cm, and a height of 3cm. What is its surface area?
- 122cm^2
- 164cm^2
- 186cm^2
- 148cm^2 (correct)
A cylinder has a diameter of 14cm and a height of 10cm. What is its volume?
A cylinder has a diameter of 14cm and a height of 10cm. What is its volume?
- 770cm^3
- 1000cm^3
- 920cm^3 (correct)
- 850cm^3
A cube has a surface area of 150cm^2. What is its volume?
A cube has a surface area of 150cm^2. What is its volume?
- 42.5cm^3
- 50cm^3
- 47.5cm^3
- 37.5cm^3 (correct)
A triangular prism has a base area of 12cm^2 and a height of 8cm. What is its volume?
A triangular prism has a base area of 12cm^2 and a height of 8cm. What is its volume?
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Study Notes
Surface Area and Volume of 3D Shapes
11+ Level Test Overview
- Focuses on calculating surface area and volume of 3D shapes
- Includes multi-step problems to test problem-solving skills
- Features questions with missing values to encourage critical thinking
Key Concepts to Review
- Surface area: the total area of the exterior surface of a 3D shape
- Volume: the amount of space inside a 3D shape
- Formulas for surface area and volume of various 3D shapes (e.g. cube, rectangular prism, sphere)
- Ability to apply formulas to solve problems with given dimensions
- Ability to work with unknown values and solve for missing variables
Critical Thinking Skills
- Ability to break down complex problems into manageable steps
- Ability to identify and use relevant formulas to solve problems
- Ability to work with variables and solve for unknown values
- Ability to double-check calculations and ensure accuracy
Tips for Success
- Read each question carefully to understand what is being asked
- Identify the type of 3D shape involved and the relevant formula
- Use diagrams or sketches to help visualize the problem
- Check calculations and ensure that units are consistent
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