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Area and Volume of Similar Shapes (B) WORKSHEET

Suitable for Grades: Geometry, IM 1

CCSS: HSG.SRT.A.2

CCSS Description: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

Area and Volume of Similar Shapes (B) WORKSHEET DESCRIPTION

This resource consists of eight mixed problems on the area and volume of similar shapes and will provide challenge for higher students. Questions are varied and include: true or false statements, calculating the area or volume of similar shapes, using volumes of similar shapes to calculate missing lengths, finding the mass of a sphere, solving problems involving ratio, and even one question looking at cones and frustums. Students may want to use a calculator to answer these questions. The worksheet contains colorful images for an appealing design.

For more higher tier Geometry resources see our related worksheets.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Area and Volume of Similar Shapes Worksheet suitable for students learning Geometry

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Frequently Asked Questions

Since this covers Similarity and Congruence at the Geometry and IM 1 level, students should be comfortable with basic area and volume formulas for common shapes like spheres, cones, and other 3D figures. They'll also need a solid grasp of ratio relationships and how scaling affects measurements differently in 2D versus 3D contexts. Understanding these foundational concepts will help them tackle the more complex mixed problems involving similar shapes.

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