In these worksheets, students will compare the volumes of similar solids.

#### Similar solids are the same type of solid, and they have proportional corresponding radii, heights, base lengths, widths, etc. In geometry, a similar solid is an important concept. Students need to have a clear understanding of this concept, as it may help them in their daily lives. So, what are similar solids? These are two or more shapes that are similar in shape, but their sizes are not the same. The corresponding segments, in this case, are proportional, and the corresponding faces are similar polygons. What are similar shapes? Two shapes are known as similar when the corresponding angles are congruent, and the sides are proportional. Now, what to do when you have to find volumes of similar solids? It is essential to understand that in a case where two shapes are similar, the volume ratio is used. The volume can be calculated by cubing the scale factor. V1 / V2 =(a/b)3

In these worksheets your students will solve problems to solve the volumes of similar solids. Problems are presented as word problems, and students will be required to write the problem as an equation and then solve. Extra paper may be required in order for students to do their calculations. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to solve word problems to find the volumes of similar solids. These worksheets explain how to compare the volumes of similar solids. Sample problems are solved and practice problems are provided.

# Comparison of Volumes of Similar Solids Worksheets

## Lesson

This worksheet explains how to compare the volumes of similar solids. A sample problem is solved, and two practice problems are provided.

## Comparison of Volumes of Similar Solids Worksheet

You will work on problem like: In a cone, if the radius and the height are 7 times more, in what multiplication volume will increase?

## Practice

Example exercise: If the sides of a cube are multiplied by 10, find the volume of the cube? Ten problems are provided.

## Review

The concept of basic scale with geometric figures is reviewed. A sample problem is solved and six practice problems are provided.

## Quiz

Students will demonstrate their proficiency with these problems. Ten problems are provided.

## Check

Students will compare the volumes of similar solids. Three problems are provided, and space is included for students to copy the correct answer when given.