MA6-WEEK14-VOLUME-OF-RECTANGULAR-PRISMS-COMPOSITE-FIGURES

Volume of Rectangular Prisms-Composite Figures

Objectives

Start

Story

Building Blocks & Big Box

Volume given the area of the base.

Fractional Rectangular Prisms

Summary

Story

Building Blocks & Big Box

Perhaps you're familiar with boxes. So, what are they called in geometry?

They're called rectangular prisms.

Let's delve into this concept.

A rectangular prism is a 3D solid made by 6 rectangular faces.

Height

Width

Length

Rectangular prisms are made of building blocks of unitary (1) volume.

For instance:

This rectangular prism is made of 12 cubes of 1 unit

2 units

3 units

2 units

Volume of a rectangular prism is the product of their dimensions

Volume

Length

Height

Width

For instance, the volume of the prism is:

2 units

V=2u·2u·3uV=12 u³

3 units

2 units

Try it by yourself:

Volume given the Area of the Base.

If you have the area of the base, volume is found multiplying area and height

Volume

Height

Area

For instance, if the base has an area of 24 u²

4 units

V=24 u²· 4uV=96 u³

24 units²

Try it by yourself:

Fractional Length Rectangular Prisms

Let's see some examples:

Example 2: Represent a rectangular prism with dimensions

Example 1: How many cubes of 1/2 in³ fill a box of 2inx3inx2in?

2 in

2 u

2 u

2 in

2 1/2 u

3 in

144 cubes of 1/2 in

V=10 u³

Try it by Yourself

A shipping container used to transport goods across continents typically measures 7 1/2 feet long, 8 feet wide, and 9 1/2 feet high.

Determine its volume to help the company to calculate how much cargo it can carry.

07:00

Summary

Great job!

See you next time

Welcome 6th graders!

A journey soon begin through Social Science experiences!

6TH-VOLUME-OF-RECTANGULAR-PRISMS-COMPOSITE-FIGURES-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

Standard 2: Model and solve problems involving two-dimensional figures and three-dimensional figures. MA.6.GR.2.3 Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths using a visual model and a formula. Standard 2: Add, subtract, multiply and divide positive rational numbers. MA.6.NSO.2.1 Multiply and divide positive multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.

MATERIAL

It is highly advised to have:

• Grid paper.
• Pencils of different colors.
• Eraser.
• A rule.
• Geogebra installed on your phone/tablet/computer (or use online version).