Similar Shapes Area & Volume Factor. 4 3 ? 6 ?? 1.

Slides:



Advertisements
Similar presentations
3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch.
Advertisements

Density Lab Part One. Density Lab: Part One DESCRIBE Describe the color and the shape of the object using 2 words.
Internal 3 Credits DO NOW: Convert the following: 1) cm 3 to mm 3 2) 728,955 mm 3 to cm 3 3) Write up the method you use for doing this.
Prisms A prism is a solid that is the same shape all the way a long its length.
10 m² 4 m =5 m( A = 5 m. The same formula (V = Bh) that is used to find the volume of rectangular prisms and cylinders, can also be used to find the volume.
Volume of Triangular Prism. Volume of a Triangular Prism Length Volume of a prism = Area x length Area of triangle = ½ x base x height.
11-7 Areas and Volumes of Similar Solids. Problem 1: Identifying Similar Solids Are the two rectangular prisms similar? If so what is the scale factor.
KS Connected Rate of Change The chain rule can be used to solve problem involving rates of change. Example 1 The length of the side of a square is increasing.
What is a cylinder? A cylinder is a three-dimensional shape that has two identical circular bases connected by a curved surface. Radius Circumference.
Volume of a Prism Remember: Prisms are 3 dimensional shapes that have a constant cross-sectional area. Triangular-based prism Rectangular-based prism.
THIS IS With Host... Your PrismsCylindersPyramidsConversions True Or False.
© T Madas. 2 shapes which are identical are called: Congruent Which transformations produce congruent images? Congruent shapes have: Equal lengths angles.
10-8 Areas and Volumes of Similar Solids
Unit 4 Test 2 Review. 1. Find the area: a) 54 cm² b) 57 cm² c) 32 cm² d) 48 cm².
The difference between prisms & pyramids. “It’s all about how you slice it!”
1 of 84 SHAPE AND SPACE Circles. 2 of 84 The circumference of a circle Use π = 3.14 to find the circumference of this circle. C = πd 8 cm = 3.14 × 8 =
Whiteboardmaths.com © 2004 All rights reserved
DO NOW!!! (1 st ) 1.A rectangular prism has length 4 cm, width 5 cm, and height 9 cm. a) Find the area of the cross section parallel to the base. b) Find.
Volume The perimeter of a shape is the total distance around the edge of a shape. Perimeter is measured in cm The Area of a plane figure is the amount.
Scale drawings. Scale drawings are used when it is unrealistic to think about drawing an object in its actual size; so we need to “scale” them down Observe…
Volume of prisms and cylinders
Find the volume of this cylinder 4 cm 3 cm Find the VOLUME of this prism 6 m 10 m.
Starters.
Perimeter, Area, and Volume Geometry and andMeasurement.
Surface Area/Volume SF, SA & Volume Formula Identification Vocabulary Terms VolumeSurface.
Whiteboardmaths.com © 2004 All rights reserved
12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.
Review for Test Total Surface Area for Cubes, Prisms, Cylinders, and Pyramids. Nets of Cubes, Prisms, Cylinders, and Pyramids. Translations, Reflections,
Volume of a Cuboid Find the volume of the following cuboids.
Course 2 Unit 5 Lesson 7 Unit 5 Lesson 7 Properties of Volume and Surface Area Properties of Volume and Surface Area.
Areas & Volumes of Similar Solids Objective: 1) To find relationships between the ratios of the areas & volumes of similar solids.
Starter Questions Find the Total Surface Area and the Volume of this cylinder Find the Total Surface Area and the Volume of this prism.
Similar Solids definition Similar Solids Two solids in which their corresponding linear measures form equal ratios
) Find the surface area of this rectangular prism. 2) Find the volume of this rectangular prism.
10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.
10-8 Areas and Volumes of Similar Solids Theorem Theorem Similar Solids Similar Solids Similarity Ratio Similarity Ratio.
Similar shapes. Cuboid A is enlarged with scale factor k to obtain B. Find expressions for the surface area & volume of B y x z A B V A =xyz S A =2(xy+xz+yz)
Squared and Cubed Conversion Factors
Volume of Prisms and Cylinders Algebra 2 1/18/2012.
12.7 Similar. Today we will… Return to the idea Of similar objects.
10 mm is the same as... 1 cm. 20 mm is the same as... 2 cm.
Corresponding Parts of Similar Triangles
Volume of Triangular Prisms and Pyramids
Volume and Missing Dimension SO 4, 5
Finding the Volume of 3D Shapes
Area Unit Conversion Worksheet
Scale Factor and the relationship to area and volume PRE TEST
You need to learn this on your OWN to be ready for the next class.
What ordered pair represents the location of point C?
Volume.
VOLUMES OF SIMILAR OBJECTS
and their missing lengths
Shape size
EXAMPLE 2 Use the scale factor of similar solids Packaging
11.7: Surface Area and Volume for Similar Solids
-.&- ·Af& Q 0 "i'/
© T Madas.
Similar Shapes.
©G Dear2008 – Not to be sold/Free to use
Volume ratios of similar solids
Surface Area of a Cylinder
Volume: Volume of prisms
volume of prisms and cylinders
Surface Area.
Area Of Composite Shapes
volume of prisms and cylinders
Similar triangles: Missing sides with other triangles
Unit 5 Review 6th Grade Math.
Perimeter.
Converting Between Measures
Presentation transcript:

Similar Shapes Area & Volume Factor

4 3 ? 6 ?? 1

? ?? 2

2 3 8 ? ?? 3

2 square 4 ? ?? ? area=? area factor = ? scale factor = ? 4

? 1 ? ? 33 area=4 area=? area factor = ? scale factor = ? 5

1 square 5 ? ?? ? area=? area factor = ? scale factor = ? 6

? 24 ÷8 area=? area=128 area factor = ? scale factor = ? 7

radius=12 ? ? radius=6 area factor = ? scale factor = ? area=? 8

?? ? ? area factor = ? scale factor = ? volume factor = ? volume=? 9

1 volume=7 ? ?? 21 ? area factor = ? scale factor = ? volume factor = ? square based prism ? ? volume=? 10

2 volume=6 ? ?? 4.5 ? area factor = ? scale factor = ? volume factor = ? square based prism 2 ? volume=? 11

5 6 area=? ?? 10 ? area=?

Area = ? cm 2 5mm ?cm Area = ? mm 2 20mm ?cm area conversion factor = ? scale conversion factor = ?

1m ?cm 1m ?cm Area = ? cm 2 Area = ? m 2 area conversion factor = ? scale conversion factor = ?

6 12 ?? area=42 area=? ?? area=96 ? ? ? ? 8 2 ?? 3 ? volume=? 12 1 ? ? 3 area=? SF=? AF=? SF=? AF=? SF=? AF=? SF=? AF=? VF=?