**Vocabulary**: volume, base, and height

**Aim**: How can we determine the volume of package (box)?

**Mini Lesson:(**10-15 minutes)

**1. **Make two different rectangular prisms (without bases) by folding two 8.5 in. by 11 in. sheets of paper into equal fourths: using the longest side and one using the short side. Tape the edges to form the prism

**2. **Make a layer of unit cubes to cover the base of each rectangular prison.

** a**. How tall is a single layer of the cubes?

** b. ** How many cubes cover each basis?

3. For each prism, how many cubes are needed to make two layers? Three layers? For layers? Make a table to record your data.

**4. a** How tall is each rectangular prism (in centimeters)?

**5. **How many cubes would fill each prism?

**6.** Exploer the virtual manipulative for volume.

**How High?** – Try your hand at the classic Piagetian conservation of volume test

http://nlvm.usu.edu/en/nav/category_g_3_t_4.html

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**Example # 1**

** 1. **Explain to the student that the area of the base of polyhedron is shown by the letter **B. **The length of the base of the polygon is shown by **b.**

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** 2**.** **Using the overhead transparency and using the following measurements below have the students complete the following steps as follows.

** 3. **Give the students of following scenario:

a net a delivery service to live as a package with dimensions 12 in. by 7 in. by 30 in. What is the volume of the package?

4. First, draw the prism and label the dimensions.

** 5.** Now explain to the students to find the area of the rectangle based, B

** 6. B = 12 x 30 = 360**

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** V = B x h**

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** V = 360 x 7**

** V = 2520 in 3**

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** The volume is 2520 in 3**

**Example # 2**

** 1.** Explain to students to find a higher rectangular prism with the volume of 72 cm 3 and base dimensions 6 cm 3 by 3 cm.

2. First, find area of the rectangular base, b

B = 6 x 3 = 18 cm 3

3. Then use the volume formula to solve.

V = B x h

72 = 18 x h

4 = h

The prism has a height of 4 cm.

**Practice:** Complete the Examples:

B = 9.8 cm x 5.0 cm B = 6.5 in x 6.5 in

H = 4.2 cm h = 6.5 in

V = ___________ V = ___________

**Homework: **sketch each figure, find its volume.

a) A box of granola cereal that measures 23 cm by 8 cm by 35 cm.

b) A fly-casting testing pool in the park that is 30 ft. wide, 40 ft., and 5 ft. deep.

Test Prep: A cube-shaped storage container measures 1.5 ft. on each side. What is the volume of 6 containers.

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