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Solving Problems in Geometry Facts & Worksheets

In this lesson, we will extend your knowledge and understanding of solving the volume for three-dimensional figures.

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Worksheets /Math /Grade 8 (ages 13-14) /Solving Problems in Geometry Facts & Worksheets
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In this lesson, we will extend your knowledge and understanding of solving the volume for three-dimensional figures. We will learn the formulas used for cones, spheres, and cylinders and use them to solve real-world and mathematical problems.

See the fact file below for more information on the solving problems in geometry or alternatively, you can download our 27-page Solving Problems in Geometry worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

VOLUME OF A CONE

  • A cone is three-dimensional solid with a circular base. It has a curved surface which tapers to a vertex at the top. The height of the cone is the perpendicular distance from the base to the vertex.
  • A right cone is a cone in which the vertex is vertically above the center of the base; otherwise, it is called an oblique cone.
  • The volume of a right cone is equal to one-third the product of the area of the base and the height.
  • V = 1/3ℼr²h; where r is the radius of the base and h is the perpendicular height of the cone.

VOLUME OF A CYLINDER

  • A cylinder is a solid with two congruent circles joined by a curved surface.
  • The volume of the cylinder is the area of the base multiplied by the height.
  • If the axis forms a right angle within the bases, which are exactly over each other, then it is called a “right cylinder”; otherwise, it is an “oblique cylinder.”
  • If the bases are in an elliptical shape, it is an “elliptical cylinder.” If the bases are circular in shape, it is a “right circular cylinder.”
  • V = ℼr²h; where r is the radius of the two congruent circles and h is the height of the cylinder
  • V = 1/3ℼr²h; where r is the radius of the base and h is the perpendicular height of the cone.

VOLUME OF A SPHERE

  • A sphere is a solid with all equidistant points.
  • The distance is known as the radius of the sphere. The maximum straight distance through the center of a sphere is known as the diameter, which is twice the length of the radius.
  • V = 4/3ℼr³; where r is the radius of the sphere.

Solving Problems in Geometry Worksheets

This is a fantastic bundle which includes everything you need to know about the solving problems in geometry across 27 in-depth pages. These are ready-to-use Solving Problems in Geometry worksheets that are perfect for teaching students about the understanding of solving the volume for three-dimensional figures. We will learn the formulas used for cones, spheres, and cylinders and use them to solve real-world and mathematical problems.

Complete List Of Included Worksheets

  • Lesson Plan
  • Solving Problems in Geometry
  • Circle Word Problems
  • Area Word Problems
  • Surface Area Word Problems
  • Volume Word Problems 1.0
  • Cone Time
  • Edgy Questions
  • Volume of the Glass
  • Angle Relationships
  • Volume Cheat Sheet
  • Time to Sketch

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Link will appear as Solving Problems in Geometry Facts & Worksheets: https://kidskonnect.com - KidsKonnect, August 17, 2020

Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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