Math 10 Geometry Unit Math 10 Geometry Unit

Lesson 1Lesson 1

6.1 (1)6.1 (1)

Volume ReviewVolume Review

Intro.Intro.

What did you have for breakfast?What did you have for breakfast?How was it packaged?How was it packaged?Why do you think it came in that Why do you think it came in that

shape?shape?Are there other ways to package it?Are there other ways to package it?What should you take into What should you take into

consideration when packaging consideration when packaging something?something?

Handout Handout

Formula sheet that can be used on Formula sheet that can be used on teststests

AreaArea

The amount of flat space and object The amount of flat space and object takes up.takes up.

Two-dimensionalTwo-dimensionalUnits squaredUnits squared

cmcm², m²², m²

AreaArea

SquareSquare TriangleTriangle TrapezoidTrapezoid a a

ll hh h h

ww b b b b

A = l x wA = l x w A = A = b x hb x h A = h(a + b)2 2

Area cont….Area cont….

circlecircle

rr

2rA

VolumeVolume

Is the amount of space an object Is the amount of space an object takes up.takes up.

Three-dimentionalThree-dimentionalUnits are in cubic measuresUnits are in cubic measures

cmcm³, m³³, m³

3 categories of objects in 3 categories of objects in regards to their volume:regards to their volume:

Prisms & CylindersPrisms & Cylinders Pyramids & ConesPyramids & Cones SpheresSpheres

A.A. Prisms and CylindersPrisms and CylindersRectangular prism Triangular Rectangular prism Triangular

prismprism

Trapezoidal prismTrapezoidal prism Circular prism Circular prism (cylinder)(cylinder)

Volume of Prisms Volume of Prisms

hAV base )(

B. Pyramids & ConesB. Pyramids & Cones

Come to a pointCome to a point

Rectangular PyramidRectangular Pyramid Triangular Triangular PyramidPyramid

B. Pyramids & Cones cont…B. Pyramids & Cones cont…

Circular pyramidCircular pyramid (cone)(cone)

Volume of pyramids and Volume of pyramids and conescones

hAV 3

1

C. SpheresC. Spheres

A round 3 dimensional objectA round 3 dimensional object

Volume of a SphereVolume of a Sphere

3

4 3rV

Surface AreaSurface Area

Prisms Prisms

PyramidsPyramids

Sphere Sphere

rhrSA 22 2

2rrsSA

24 rSA

ClassworkClasswork

Do Q. 1 pg. 260 with classDo Q. 1 pg. 260 with classDo Q. 2 – 5 pg. 260 – 261Do Q. 2 – 5 pg. 260 – 261

Quiz in 2 days tomorrow on area, Quiz in 2 days tomorrow on area, surface area, and volume.surface area, and volume.