Download presentation

Presentation is loading. Please wait.

1
**Unit 2: Engineering Design Process**

Foundations of Technology Unit 2: Engineering Design Process Lesson 5: Prototyping and Modeling 3 Calculating Area and Volume

2
The Big Idea Big Idea: At various intervals of the Engineering Design Process, conceptual, mathematical and physical models are used to evaluate the design solution.

3
**Area and Volume Definitions:**

Area – the amount of space inside a two- dimensional shape. Surface area – the total area of all surfaces on a three-dimensional object. Volume – the amount of space a three- dimensional object occupies.

4
**Area Square: a = the length of all sides, as all sides are equal**

Equation for Area (A) = s X s = s² = A s s s s

5
**Area Rectangle: W = the width of rectangle H = the height of rectangle**

Equation for Area (A) = W x H = A W H

6
**Area Triangle: b = the base of the triangle**

h = the height of the triangle Equation for Area (A) = ½(b x h) = A h b

7
**Area Circle: r = the radius of the circle**

Equation for Area (A) = π(r²) = A r

8
**Practice Questions Calculate the area for the square and rectangle:**

W = 3 H = 2

9
**Practice Questions Calculate the area for the square and rectangle**

W = 3 Area = a² = 4² A = 16 Area = W x H = 3 x 2 A = 6 H = 2

10
**Practice Questions Calculate the area for the triangle and circle:**

b = 4

11
**Practice Questions Calculate the area for the triangle and circle:**

Area = π(r²) = π(2.5²) = π(6.25) A = 19.6 Area = ½(b x h) = ½(4 x 3) = ½(12) A = 6 b = 4

12
Surface Area Cube: a = the length of all sides, as all six sides are equal Equation Surface Area (SA) = 6(s²) = SA s s s

13
**Surface Area Rectangular Prism: W = the width of the prism**

D = the depth of the prism H = the height of the prism Equation Surface Area (SA) = 2(W x H) + 2(D x H) + 2(W x D) = SA W D H

14
**Surface Area Sphere: r = the radius of the sphere**

Equation Surface Area (SA) = 4π(r²) = SA r

15
**Surface Area Cylinder: r = the radius of the cylinder**

h = the height of the cylinder Equation Surface Area (SA) = 2π(r²) + 2π(r x h) = SA h r

16
Practice Question Calculate the surface area for the sphere and cylinder: H = 3 s = 2 D = 2 W = 4

17
Practice Question Calculate the surface area for the cube and rectangular prism: H = 3 s = 2 D = 2 W = 4 Surface Area = 2(W x D) + 2(H x D) + 2(W x H) = 2(4 x 2) + 2(3 x 2) + 2(4 x 3) = 2(8) + 2(6) + 2(12) = SA = 52 Surface Area = 6s² = 6(2²) = 6(4) SA = 24

18
Practice Question Calculate the surface area for the sphere and cylinder: r = 2 h = 6 r = 1

19
Practice Question Calculate the surface area for the sphere and cylinder: Surface Area = 2π(r²) + 2π(r x h) = 2π(1²) + 2π(1 x 6) = 2π(1) + 2π(6) = SA = 44 r = 2 h = 6 Surface Area = 4π(r²) = 4π(2²) = 4π(4) SA = 50.24 r = 1

20
**Volume of Cube and Prism**

Volume of a Cube V = s3 Volume of a Rectangular prism V = W x H x D s W D H

21
**Volume of Sphere and Cylinder**

Volume of a Sphere V = 4/3∏(r³) Volume of a Cylinder (V) = ∏(r²)h r h r

22
Practice Question Calculate the volume of the cube and rectangular prism: H = 3 b = 2 D = 2 W = 4

23
Practice Question Calculate the volume of the cube and rectangular prism: H = 3 s = 2 D = 2 W = 4 Volume = W x D x H V = 4 x 2 x 3 V = 24 Volume = s3 V = (23) V = 8

24
**Practice Question Calculate the volume of the sphere and cylinder:**

25
**Practice Question Calculate the volume of the sphere and cylinder:**

Volume = ∏(r²)h V = (3.14) (1.52) (6) V = (3.14) (2.25) (6) V = 42.39 r = 2 h = 6 Volume = 4/3∏(r³) V = (1.33) (3.14) (23) V = 4.19 x 8 V = 33.49 r = 1.5

Similar presentations

OK

Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.

Warm Up Find the perimeter and area of each polygon. 1. a rectangle with base 14 cm and height 9 cm 2. a right triangle with 9 cm and 12 cm legs 3. an.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on human rights and social equality Ppt on web designing Ppt on motivation for students Ppt on motivation in hindi Ppt on two point perspective images Ppt on nestle india ltd foods Ppt on computer malwares Ppt on ovarian cycle Ppt on any civil engineering topics Ppt on turbo generator free download