Agenda Bell ringer Introduction to volume Video Cornell notes

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Presentation transcript:

Agenda 02.20.2019 Bell ringer Introduction to volume Video https://www.youtube.com/watch?v=qJwecTgce6c Cornell notes Topic: volume of Shapes E.Q. How can I calculate the volume of a given shape? Bell Ringer

What Is Volume ? The volume of a solid is the amount of space inside the solid. Consider the cylinder below: If we were to fill the cylinder with water the volume would be the amount of water the cylinder could hold:

VOLUME The number of cubes that you just counted is called the VOLUME of your box. So, what do you think VOLUME means?

*Always measured in units cubed (u3) VOLUME VOLUME is the amount of liquid or solid that will FILL a 3-Dimensional object! *Always measured in units cubed (u3)

QUICK DEFINITION 3-Dimensional objects are NOT FLAT. They have 3 measurements: Length Width Height

1 Name the figure. A Rectangular Prism B Triangular Pyramid C Hexagonal Prism D Rectangular Pyramid E Cylinder F Cone Answer: D

2 Name the figure A Rectangular Pyramid B Triangular Prism C Octagonal Prism D Circular Pyramid E Cylinder F Cone Answer: E

3 Name the figure A Rectangular Pyramid B Triangular Pyramid C Triangular Prism D Hexagonal Pyramid E Cylinder F Cone Answer: B

4 Name the figure A Rectangular Prism B Triangular Prism C Square Prism D Rectangular Pyramid E Cylinder F Cone Answer: A

5 Name the figure A Rectangular Prism B Triangular Pyramid C Circular Prism D Circular Pyramid E Cylinder F Cone Answer: F

RECTANGULAR PRISM Today we found the volume of a 3-D object called a RECTANGULAR PRISM, which is a solid figure that has six faces that are all rectangles. Opposite faces are congruent and parallel.

VOLUME OF A RECTANGULAR PRISM So, what if we wanted to find the volume of this classroom?

Luckily, we have a formula for that! Volume = length × width × height

FIND THE VOLUME OF THIS RECTANGULAR PRISM: NOTES! FIND THE VOLUME OF THIS RECTANGULAR PRISM: 3 mm 2 mm 12 mm

FIND THE VOLUME OF THIS RECTANGULAR PRISM:

FIND THE VOLUME OF THIS RECTANGULAR PRISM: 5 cm 5 cm 5 cm

NOTES! A cereal box has a length of 8 inches, a width of 2 inches, and a height of 3inches? How much cereal will the box hold?

Alexia’s bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height of 0.4 meter. How many cubic feet of water can it hold?

YOUR TURN! Guided Practice

FIND THE VOLUME OF THIS RECTANGULAR PRISM:

FIND THE VOLUME OF THIS RECTANGULAR PRISM:

Trailers that travel on the road behind trucks are rectangular prisms Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?

An aquarium shaped like a rectangular prism has a length of 120 centimeters, a width of 60 centimeters, and a height of 100 centimeters. How much water is needed to fill the aquarium?

One last question: A rectangular prism has a length of 2 inches, a height of 5 inches, and a width of 3 inches. What is the volume of this rectangular prism?

Reference https://1.cdn.edl.io/WC5X5hF5se358qeZ9Knw4Gk VbAWlNj4IOAnq7Li4DCczmpJb.... lockeschool.org/.../3D_Geometry%20Notes%20and %20Lesson%207th%20Grade.ppt..