Download presentation

Presentation is loading. Please wait.

Published byHope Anna Parsons Modified over 6 years ago

2
Confidential 2 Warm Up Find the Surface area of each rectangular Prism to the nearest tenth 5.5cm 2.3cm 10cm 1. 2. 7.8 in. 6.2 in. 5.4 in. 181.3cm 2 247.9 in 2

3
Confidential 3 Warm Up Find the surface area of Cylinders: 4. r = 6mm, h = 10 mm 603.2mm 2 5. r = 3.5 ft, h = 24 ft 604.8ft 2 3. Write the formula for the surface area of a Cube in which each edge measures x units. Surface area = 6x 2

4
Confidential 4 Surface Area of a Prism The surface area of a prism is the sum of the areas of all the sides of the prism. The formula for the surface area of a prism therefore depends on the type of prism. Surface Area of a Cylinder The surface area of a cylinder is the sum of the areas of the two bases and the lateral face of the cylinder. surface area of a cylinder = 2* r 2 + 2 rh Lets review what we have learned in the last lesson

5
Confidential 5 Types of prism The name of a prism depends upon its base polygons. If the bases are triangles, then it is a TRIANGULAR prism. A RECTANGULAR prism has bases which are rectangles. The other types of prisms are pentagonal prism, hexagonal prism and octagonal prism. Surface Area of prism: Surface Area of any prism = Lateral area + Area of two ends

6
Confidential 6 What is volume? The amount of space occupied by an object is called its volume. Cubic units are used to measure the volume. For example m 3, cm 3, in 3, ft 3 etc.

7
Confidential 7 Volume of Rectangular Prism Prism is a 3D figure. The volume of a rectangular prism is given by the formula: Volume = l × b × h Where l is the length of the rectangular prism. b is the width of the rectangular prism. h is the height of the rectangular prism.

8
Confidential 8 Practice Example 1: Find the volume of the rectangular prism whose length is 12 cm, width 6 cm and height 8cm. Solution: Volume = l × b × h Volume = 12 × 6 × 8 Volume = 576 cm 3 The volume of the rectangular prism is 576 cm 3. Volume = l x b x h

9
Confidential 9 Practice Example 2: Find the volume of the rectangular prism whose length is 6 in, width 6 in and height 4 in. Solution: Volume = l × b × h Volume = 6 × 6 × 4 Volume = 144 in 3 The volume of the rectangular prism is 144 in 3. Volume = l x b x h

10
Confidential 10 Volume of Cylinder Cylinder is a 3D figure. The volume of a cylinder is given by the formula: Volume = r 2 h Where r is the radius of the base of the cylinder. h is the height of the rectangular prism. and pi = 3.14.

11
Confidential 11 Practice Example 3: Find the volume of the cylinder whose radius is 10 cm and height 6cm. Solution: Volume = r 2 h Volume = 3.14 × 10 2 × 6 Volume = 1884 cm 3 The volume of the cylinder is 1884 cm 3. Volume = r 2 h

12
Confidential 12 Practice Example 4: Find the volume of the cylinder whose diameter is 22 cm and height 14 cm. Solution: Radius r = Diameter/2 = 22/2 = 11 cm Volume = r 2 h Volume = 3.14 × 11 2 × 14 Volume = 5319.6 cm 3 The volume of the cylinder is 5319.6 cm 3. Volume = r 2 h

13
Confidential 13 Your Turn Find the volume of the rectangular prism whose: 1. l=5 cm, b = 3 cm, h = 4 cm Answer= 60 cm 3 2. l=4 in, b = 3 in, h = 5 in Answer= 60 in 3 3. l=12 cm, b = 2 cm, h = 7cm Answer= 168 cm 3 4. l=10 m, b = 5 m, h = 5 m Answer=250 m 3 5. l=5 km, b = 5 km, h = 11km Answer= 275 km 3

14
Confidential 14 Your Turn Find the volume of the cylinder whose: 6. r = 5 cm, h = 4 cm Answer= 314 cm 3 7. r = 10 in, h = 2 in Answer= 628 in 3 8. r = 1 km, h = 5 km Answer= 15.7 m 3 9. r = 1 m, h = 1 m Answer= 3.14 m 3 10. r = 2 cm, h = 2 cm Answer= 15.12cm 3

15
Confidential 15

16
Confidential 16 Let us play a game Click here to play

17
Confidential 17 Q1: Find the length of the rectangular prism whose area is 980 cm 3, width is 10cm and height is 7 cm. Solution: Given that b = 10 cm, Area = 980 cm 3 and h = 7cm. Volume = L x b x h 980 = L x 10 x 7 After simplification we will get 980 = 70L Divide both the sides by 70, we will get L = 14 cm The length of rectangular prism is 14 cm.

18
Confidential 18 Q2: Find the height of the cylinder whose area is 314 cm 3, and radius is 10 cm. Solution: Given that Area = 314 cm 3 and r = 10 cm Volume = (radius) 2 x height 314 = 3.14 x (10) 2 x h After simplification we will get 314 = 3.14 x 100 x h 314 = 314h Divide both the sides by 314, we will get h = 1 cm The length of cylinder is 1 cm.

19
Confidential 19 Q3: A match box measures 4cm by 2 cm by 2 cm. What will be the volume of the a packet containing a maximum of 12 such boxes? Solution: First we will find the volume of one match box. Volume of one match box = 4 x 2 x 2 Volume of one match box = 16 Now volume of one packet is equal to the volume of 12 match boxes. Volume of one packet = Volume of 12 match boxes Volume of one packet = 12 X 16 = 168 The volume of one packet is 168 cm 3.

20
Confidential 20 Let Us Review The amount of space occupied by an object is called its volume. The volume of a rectangular prism is given by the formula: Volume = length × width × height The volume of a cylinder is given by the formula: Volume = π (radius) 2 x height

21
Confidential 21 You Had a Great Lesson Today! Be sure to practice what you have learned today

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google