11+ Level: Surface Area and Volume of 3D Shapes
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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?

  • 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?

  • 770cm^3
  • 1000cm^3
  • 920cm^3 (correct)
  • 850cm^3
  • 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?

    <p>72cm^3</p> Signup and view all the answers

    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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    Description

    Test your understanding of surface area and volume of 3D shapes with this challenging 11+ level quiz. Solve multi-step problems and fill in missing values to demonstrate your mastery of these essential math concepts.

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