the amount of space that an object occupies is the volume of the object. to calculate volume of a...

The amount of space that an object occupies is The amount of space that an object occupies is the the volume volume of the object.of the object.

To calculate To calculate volume of a cylindervolume of a cylinder, take the , take the productproduct of the area of its of the area of its basebase and its and its heightheight..

V = Area of base x heightV = Area of base x height

Volume is measure in cubic units.Volume is measure in cubic units.

To find the volume, To find the volume, calculate the area of calculate the area of the base and multiply the base and multiply by the height.by the height.

CirclesCircles

A = A =

A = (3.14)(5)A = (3.14)(5)22

A = 78.5 cmA = 78.5 cm22

Height = 20 cmHeight = 20 cm2r

V = hV = h

= 78.5(20)= 78.5(20)

= 1570 cm= 1570 cm33

2r

V = Area of base x heightV = Area of base x height

To find the volume, To find the volume, calculate the area of calculate the area of the base and multiply the base and multiply by the height.by the height.

V = Area of base x heightV = Area of base x height

To find the volume, To find the volume, calculate the area of calculate the area of the base and multiply the base and multiply by the height.by the height.

Height = 8 mmHeight = 8 mm2r

V = hV = h

= 50.24(8)= 50.24(8)

= 401.92 mm= 401.92 mm33

2r

V = Area of base x heightV = Area of base x height

CirclesCircles

A = A =

A = (3.14)(4)A = (3.14)(4)22

A = 50.24 mmA = 50.24 mm22

2r

To find the volume, To find the volume, Multiply of the Multiply of the volume of a cylindervolume of a cylinder

Height = 9 mHeight = 9 m

V = hV = h

==

= 235.5 m= 235.5 m33

V = Volume of cylinderV = Volume of cylinder

13

13

13

706.5 3

CirclesCircles

A = A =

A = (3.14)(5)A = (3.14)(5)22

A = 78.5 mA = 78.5 m22

V = hV = h

= 78.5(9)= 78.5(9)

= 706.5 m= 706.5 m33

2r2r

To find the volume, To find the volume, Multiply of the Multiply of the volume of a cylindervolume of a cylinder

V = Volume of cylinderV = Volume of cylinder13

13

2r

To find the volume, To find the volume, Multiply of the Multiply of the volume of a cylindervolume of a cylinder

Height = 9.5 cmHeight = 9.5 cm

V = hV = h

==

= 357.96 cm= 357.96 cm33

V = Volume of cylinderV = Volume of cylinder

13

13

13

1073.88 3

CirclesCircles

A = A =

A = (3.14)(6)A = (3.14)(6)22

A = 113.04 cmA = 113.04 cm22

V = hV = h

= 113.04(9.5)= 113.04(9.5)

= 1073.88 cm= 1073.88 cm33

2r2r

Volume of a Volume of a Triangular PrismTriangular Prism

Volume of Volume of Rectangular Rectangular PrismPrism

Volume of a PyramidVolume of a Pyramid

V = Area of base x heightV = Area of base x height

V = lwhV = lwh

V = Area of base x heightV = Area of base x height

V = (h)V = (h)bh 2

V = Area of base x heightV = Area of base x height13

Volume of a ConeVolume of a ConeV = Volume of cylinderV = Volume of cylinder

V = hV = h

13

13

2r

2rVolume of CylinderVolume of Cylinder

V = Area of base x heightV = Area of base x height

V = hV = h

Class work

• Check solutions to Lesson 24

• Copy down examples and notes to this lesson.

• Complete Lesson 25 worksheet