These activity sheets will give your students practice in reading and calculating units of volume.

Volume is a measure of how much space something takes up. It measures the capacity of a given object. Every measuring system that exists in the world has defined a unit volume for that system. To put it simply, the volume can be defined as the extension of the concept of area. But in reality, it goes beyond this. When someone refers to the volume of an object in that system, what they mean is how many times that unit volume is contained within the object. For example, they say that the volume of a glass filled with water is 35.6 cubic inches. This means that the glass of water can hold up to 35.6 cubic inches of water in it. The units used for measuring the volume depends on a range of factors, in which one very obvious is, the system it is being measured in. For example, In the British system, a volume may be measured in barrels, bushels, pecks, tea, and tablespoons, as well as many other units. These units may have more than one meaning since they are different. For example, the size of the barrel can differ and can range anywhere from 31 to 42 gallons. However, the standard units used in this system are the cubic inch or cubic foot and the gallon.

You can also measure the volume of sound, but this very subjective. What is considered loud to one person is not to another. What is the old (pun intended) "If it is too loud, you are too old!" In this section we focus on calculating the liquid and solid volume. The volume of a solid is usually expressed in cubic centimeters. The volume of liquids is usually express in relation to liters. These worksheets explain how to do read and calculate units of volume. Students will complete equivalency charts, fill in graduated cylinders, perform complex order of operations, and other activities.



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Measures of Volume Worksheets

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Metric Volume Units Lesson

Color the cup to fill it to the correct measurement. Note the calibrated cup. Use the divisions to fill the cup. As we can see, the cup is divided into 5 big divisions where each division represents 100 ml. 100 ml is further divided into 5 smaller divisions, each of which represents 20 ml.

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Metric Units Lesson and Practice

Students will convert between a variety of metric measurement units. A sample problem is solved and two practice problems are provided.

Worksheet

Based on above facts, we know 1 liter, L = 1000 milliliter, ml. Fill in the values.

Practice

Students will practice converting between measures of liters and mLs. Ten problems are provided.

Drill

Students will determine the metric volume of liquid that is in each container. Eight problems are provided.

Warm Up

Jump back and forth between all the different units of measure. Three problems are provided.

Units of Volume Lesson

As directed in the question we need to fill in the beaker to 1 1/2 of its capacity. The capacity of this vessel is 2 cups. This vessel has 2 big divisions, each of which represents 1 cup.

Lesson and Practice

1 Just remember the above formula and fill in the missing blanks.

Worksheet

The measuring cup can hold 2 cups when full. Draw to fill it to the given level.

Practice

Students will practice converting between units of volume. Ten problems are provided.

Drill

Students will move between all forms of measure. Eight problems are provided.

Warm Up

See how well you are doing with this skill. Three problems are provided.

Liquid Volume Lesson

How many milliliters of liquid is in the measuring cup?

Lesson and Practice

Students will determine the volume of liquids by reading a cylinder. A sample problem is solved and two practice problems are provided.

Worksheet

Read the filled cup to the appropriate line, so that the level of the liquid coincides with the line. Read it with your eye at the level of the liquid.

Practice

Water surface curves downward, so use the bottom of the curve for accurate measurement and not the edge that is against the measuring cup.

Drill

Students will read the measures to find the volume of a liquid. Eight problems are provided.

Warm Up

More practice with finding the volume of liquids. Three problems are provided.

Volume of a Box Lesson

Find the volume of the given figure in cubic units. It can be expressed as how much space an object takes up or occupies. Using cubic units, we can calculate this measure, because the cubic units are based on lengths we can easily measure, such as centimeters, inches, feet, or meters.

Lesson and Practice

If no unit is given for the side lengths, we just use the word "unit" for the lengths of the sides, and "cubic unit" for the volume. Count the number of cubes in the given figure. The amount of space it takes up is the same as the number of cubes in cubic units. Here the figure has 16 cubes. So the measure is 6 cubic units.

Worksheet

Find the volume of these figures in cubic units. Ten problems are provided.

Practice

Students will practice finding the volume of a series of boxes. Ten problems are provided.

Drill

See if you can determine the mixed measures that all result from counting these units.

Warm Up

More quality measure of volume of the closed series of boxes. Three problems are provided.

Volume of Cylinders and Prisms Lesson

Find out how much space the given figure takes up. The solid figure given in the problem is a cylinder. We use a set formula.

Lesson and Practice

Similar to what we have discussed in the lesson, most solid figures have a formula to find out volume.

Worksheet

From the dimension of the box it is known that the box is a cube, and volume of cube is given by length × height × width.

Practice

Number of books in the box will be (Volume of box) / (Volume of one book) = Number of books

Drill

A cylindrical pond has a diameter of 7 ft 6 in and a depth of 4 ft 7 in. How many gallons of water can it hold?

Warm Up

What size of tarp would cover the top part? Three problems are provided.

Volume of Rectangular Prisms Lesson

A rectangular prism (also known as a cube) is a 3 dimensional figure with six rectangular faces. As all faces are rectangular so all angels meet at 90 degrees.

Lesson and Practice

It is 3 dimensional, hence to describe the figure, width, depth and height are required. These three dimensions are shown in the figure below.

Worksheet

To get the volume, the cubes in the prism are counted. Now, the bottom layer has 3 cubes (width wise) and 3 cubes (depth wise).

Practice

To draw a box or cube when only volume is given, is totally dependent on the person drawing the cube, so the results may vary from person to person.

Drill

Students will find the volume of rectangular prisms. Eight problems are provided.

Warm Up

Students will demonstrate ability with the skills and core concepts that we have explored. Three problems are provided.

Volume Problems Lesson

The volume of a container is generally understood to be the capacity of the container, i.e. the amount of fluid (gas or liquid) that the container could hold, rather than the amount of space the container itself displaces.

Lesson and Practice

A sample problem (Find the volume of a rectangular cylinder whose height is 5 inch and the base is a rectangle of length 10 inch and breadth 5 inch.) is solved and two practice problems are provided.

Worksheet

Find the volume of a triangular cylinder whose height is 14 cm and the bottom is a triangle with base 4 cm and altitude 5 cm.

Practice

Here the figure is a simple cylinder. And we can use the formula to calculate the volume of cylinder. Volume of cylinder = area of the base multiplied by the height.

Drill

A pillar from an ancient city was found buried in the ground. It had a crosssectional shape of a square. If the length of the cross section is 7 meter and the pillar was 15 meters tall, what was the total volume of stone contained by the pillar?

Warm Up

Two ice cubes with the dimensions 3 cm X 4 cm X 5 cm are placed in cylinder of radius 3.5 cm and height 5 cm. Find the volume of the free space.

Volumes of Cones and Pyramids Lesson

An ice cream cone is 13 cm tall and has a circle with 4.5 cm diameter. On top of that cone, there is more ice cream in cylindrical shape. The cylinder of ice cream has the same circle as its base and is 5 cm tall. Find the total volume of ice cream.

Lesson and Practice

Given object is a Triangular pyramid, find all the measures of interest that are needed to find out how much space it occupies.

Worksheet

Remember to focus on the types of shapes that you are working with. Ten problems are provided.

Practice

A juice company plans to sell a new energy drink in four different containers. If the drink is supposed to be sold at the unit rate of $6 per liter, what would the price be for all the four containers?

Drill

Sketch the cone. A straight cone that is 11 cm tall and its base is a circle with 5 cm diameter.

Warm Up

If you have a cube with 6 inch sides and a square pyramid that fits right inside it so that the base of the pyramid sits in the bottom of the cube and the peak of the pyramid just touches the top side of the cube. What is the volume of the pyramid?

Volume and Surface Area of Solids and Cylinders Lesson

This worksheet explains how to find the volume and surface area of solids and cylinders. A sample problem is solved, and two practice problems are provided.

Worksheet

The diameter of an iron sphere is 6 cm. It is beaten and drawn into a wire of diameter 2 mm. Find the length of the wire.

Practice

Fifty metal spheres of radius 2 cm each melted and this melted solution is filled in Cube with base area 15 cm × 20 cm. Find the height of Cube filled with solution.

Review and Practice

Hundred metal spheres of radius 1cm each melted and this melted solution is filled in Cube with base area 5 cm × 2 cm. Find the height of Cube filled with solution.

Quiz

Students will demonstrate their proficiency with the skills that we have explored here. Ten problems are provided.

Check

The diameter of iron sphere is 4 cm. It is beaten and drawn into a wire of diameter 6 mm. Find the length of the wire.

Volume Units Lesson

How many gallons of gasoline can one put in a 10 ft × 4 ft × 5 ft tank? A tank is a three dimensional shape that resembles a cube. To find out how many gallons can be put in the tank, one must know volume of tank.

Lesson and Practice

Students will convert between cubic units of meter and feet. A sample problem is solved and two practice problems are provided.

Worksheet

Students will solve problems requiring them to convert between various units. Ten problems are provided.

Practice

Students will practice breaking down all types of cubic units. Ten problems are provided.

Drill

A milk carton has a 3.5 × 4 in square at the bottom, and it is 7 in tall. What is its volume in cubic centimeters?

Warm Up

A water tank has a shape of cylinder, with dimensions diameter 2 ft 4 in and height 1 ft 8 in. How many cups of water can it hold?

Complex Volume Operations Lesson

The volume of a sphere ball is 4/3 Ar3, where, r is the radius. Find this measure of a ball with diameter of 15 cm. Remembering that 1 cubic centimeter equals a milliliter, if you carefully submerge the ball into a 10-liter bucket full water, how much water will be in the bucket after some water spills out?

Lesson and Practice

Students will work with complex order of operations. A sample problem is solved and two practice problems are provided.

Worksheet

To evaluate the given expression, we follow the PEMDAS rule by following the given values of a, b and c.

Order of Operations Practice

If, we carefully submerge the ball into a 10-liter bucket full water, the amount of water spills out is the same as that of volume of ball.

Complex Drill

Remembering that 1 cubic centimeter equals a milliliter, if you carefully submerge the ball into a 10-liter bucket full water, how much water will be in the bucket after some water spills out?

Warm Up

Jack has a drinking glass shaped like a cut cone that is 12 cm tall. The diameter of its bottom is 4 cm and the diameter of the top is 6.4 cm. Find its volume.