In these worksheets, students will learn to find the volume of a three-dimensional shape.

#### The measure of volume lets you know how much a container can hold whether it be a suitcase or pitcher for water. Each different shape can hold differing amounts. Each shape requires a differing formula to find that measure of how much it can. Often students will start with finding the volume of a rectangle and then run with that formula on all geometric shapes. This is where the confusion starts. When you come across a word problem that is looking for some form of volume first determine which shape you are dealing with before you do anything else. Once you have that down, its time to find a matching formula for that shape.

In these worksheets, your students will solve word problems involving finding the volume of three-dimensional shapes (cubes, spheres, cylinders, etc.) A sound understanding of algebra is required in order for students to be successful with these worksheets. There are eleven worksheets in this set. This set of worksheets contains lessons, step-by-step solutions to sample problems, and both simple and more complex problems, a review, and a quiz. It also includes ample worksheets for students to practice independently. Worksheets are provided at both the basic and intermediate skills levels. Students may require extra paper on which to do their calculations. Most worksheets contain between eight and eleven problems. When finished with this set of worksheets, students will be able to solve word problems involving finding the volume of a three-dimensional shape. These worksheets explain how to find the volume of a three-dimensional shape. Sample problems are solved and practice problems are provided.

# Volume Worksheets

## Volume Word Problems Lesson

Students will learn how to find the volume of a cube. A sample problem is solved and two practice problems are provided.

## Worksheet

Two spheres A and B have a volume of 1440 cubic cm and 800 respectively. Find the ratio of their radius.

## Practice

How much milk is needed to fill a bottle that is 20m deep and 8m wide?

## Review and Practice

A Red ball has a volume of 3,000 cubic meters and a Green ball has a volume of 1,500 cubic meters. Find the ratio of their radius.

## Quiz

Four metal boxes with sides of 8 cm are melted and casted into a sphere. Find the volume of sphere so formed.

## Check

What is the volume of a regular cylindrical glass whose base has radius of 5 cm and has height of 8 cm?

## Basic Skills

A wall of length 10m, width 1.5m and height 1m is to constructed by using tiles, each of dimensions 10cm by 10cm by 20cm, how many tiles will be needed?

## Volume Word Problems Independent Practice

How much cement is needed to build a cylindrical pillar that is 56 feet long with diameter of 4 feet?

## Intermediate Skills Worksheet

The box is shaped like a cube and has a bottom area of 18 in2. If Nancy has 162 cubic inches of chocolate and she wants the box to be as tall as possible, what should be length of box?

## Intermediate Skills Practice

If oil is poured from a cylindrical vessel of radius 7cm and height 18cm into an empty rectangular vessel of 22cm long and 6cm wide, find out the height of water in rectangular vessels.

## Intermediate Skills Drill

Suppose a swimming pool in the shape of a hemisphere is 28m wide. How much water can store in pool? Round your answers to one decimal place.