Introduction to Volume Calculation for 3D Shapes
02.20.2019
Agenda
•
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?
VOLUME
VOLUME
is the amount of
liquid or solid that will
FILL
a
3-Dimensional object!
*Always measured in
units cubed (u
3
)
QUICK DEFINITION
•
3-Dimensional
objects are NOT FLAT.
•
They have 3 measurements:
•
Length
•
Width
•
Height
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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?
FORMULA
Luckily, we have a formula
for that!
Volume = length × width ×
height
FIND THE VOLUME OF THIS
RECTANGULAR PRISM:
3 mm
2 mm
12 mm
FIND THE VOLUME OF THIS
RECTANGULAR PRISM:
10 in
3 in
4 in
FIND THE VOLUME OF THIS
RECTANGULAR PRISM:
5 cm
5 cm
5 cm
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:
40 in
9 in
11 in
FIND THE VOLUME OF THIS
RECTANGULAR PRISM:
8 m
8 m
8 m
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?
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..
Understand the concept of volume for 3D shapes through examples like cylinders, prisms, and pyramids. Learn how to calculate volume, the importance of units cubed, and identifying different 3D figures based on their characteristics.
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E N D
Presentation Transcript
Agenda 02.20.2019 Bell ringer Introduction to volume Video https://www.youtube.com/watch?v= Bell Ringer qJwecTgce6c Cornell notes Topic: volume of Shapes E.Q. How can I calculate the volume of a given shape?
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 VOLUMEof your box. So, what do you think VOLUME means?
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 B C D E F Rectangular Prism Triangular Pyramid Hexagonal Prism Rectangular Pyramid Cylinder Cone
2 Name the figure A B C D E F Rectangular Pyramid Triangular Prism Octagonal Prism Circular Pyramid Cylinder Cone
3 Name the figure A B C D E F Rectangular Pyramid Triangular Pyramid Triangular Prism Hexagonal Pyramid Cylinder Cone
4 Name the figure A B C D E F Rectangular Prism Triangular Prism Square Prism Rectangular Pyramid Cylinder Cone
5 Name the figure A Rectangular Prism B Triangular Pyramid C Circular Prism D Circular Pyramid E Cylinder F Cone
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?
FORMULA Luckily, we have a formula for that! Volume = length width height
NOTES! FIND THE VOLUME OF THIS RECTANGULAR PRISM: 3 mm 2 mm 12 mm
FIND THE VOLUME OF THIS RECTANGULAR PRISM: 4 in 10 in 3 in
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?
Alexias 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: 11 in 40 in 9 in
FIND THE VOLUME OF THIS RECTANGULAR PRISM: 8 m 8 m 8 m
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..
