Lesson 14.1: Building Solids using Unit Cubes

Find the volume of a figure built of unit cubes by counting the cubes. Don’t forget to count the cubes that are hidden!

__________ hidden cubes __________ hidden cubes

__________ hidden cubes

__________ unit cubes

__________ hidden cubes

1. 2.

3. 4.

5.

Compare the size of the figures by finding the volume of both solids, then compare their total volumes.

6.

Find the volume in a regular figure by using the formula Volume = Length x Width x Height

V= l x w x hV= 4 in x 2 in x 2 in V= ______________ in³ V= B x h

V= B x h

4.

5. 6.

Find the volume of a liquid by converting cubic centimeters to milliliters.

1,000 cm³= 1,000 mLRemember that there are 1,000 mL in 1 L

Applying Volume to One Step Word Problem

Formua =

Show Your Work!

Convert cm³ to L and mL:

Answer statement:

Two Step Word Problems

1.

Formula =

Find the volume of the figure:

Find out what is 23 of the volume.

Convert cm³ to L and mL:

Write the answer statement.

Check for reasonableness

2. There are 1.75 liters of water in the rectangular container shown. How much more water is needed to fill the container completely?Formula =

Find the volume of the figure:

How can you find out how much water is needed to fill the container now that you know that volume?

Convert cm³ to L :

Check for reasonableness

Write the answer statement.

1.

Three Step Problems

Formula =

Find the volume of the figure:

Find out how much water is in; the container.

What is the volume of the water left in the tank?

Find out how much water is in the container.

Check for reasonableness.

Write the answer statement.

2.

Formula = Draw a picture.

Find the volume of the figure:

Find out how much water is left in the container.

Find out how much water will fill the container to the top.

The tap flows 6 L per minute.

Write the answer statement.

Why is your answer reasonable?

3. Use the steps we used in the last couple of problems to solve this one on your own! Be sure to include:

The formula for volume A drawing of the figure. An answer statement. Always show all of your work!