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TOTAL SURFACE AREA OF CUBOIDS

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Information about TOTAL SURFACE AREA OF CUBOIDS
Education

Published on January 24, 2010

Author: Sgayathri

Source: authorstream.com

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1. Utility And Description Of Cuboids2. Let us make a cuboid.3. Volume Of Cube And Cubiod4. Total Surface Area Of Cuboids : 1. Utility And Description Of Cuboids2. Let us make a cuboid.3. Volume Of Cube And Cubiod4. Total Surface Area Of Cuboids BY S.GAYATHRI FOR CLASS VII VOLUME & SURFACE AREA OF A CUBOID Slide 2: Why the formers of Japan grew watermelons in the shape of cuboids ? Why the formers of Japan grew watermelons in the shape of cuboids ?Huge Watermelons in cuboids shape facilitates efficient storage and refrigeration!!Good enough! For the same reason our “tea pack” and “match box” come in this shape. :  Why the formers of Japan grew watermelons in the shape of cuboids ?Huge Watermelons in cuboids shape facilitates efficient storage and refrigeration!!Good enough! For the same reason our “tea pack” and “match box” come in this shape. “Storage Friendly shapes !!” “godly shapes !!” Slide 4: DESCRIPTION: Take your pencil box out. Keep it in front of you and do as directed. Move your finger along the edges as shown by the red path on the slide. How many edges are there in your box? Put a dot, using your pen at the corners of your box. How many ink dots did you put? Slide 5: BACK FRONT Place your hands on the top and bottom surface of your box. Now, place your hands on the right and left, vertical surfaces, of your box. Now, place your hands on the front and back side vertical surfaces of your box. Slide 6: LENGTH , BREADTH AND HEIGHT are called the “three dimensions” of the cuboids. LENGTH , BREADTH AND HEIGHT [3 dimensions ] gives the complete description of the cuboids. DIMENSIONS : Take 18x16 sheet. Mark 4x4 squares at 4 corners. How do I make a OPEN cuboid of l=10cm, b=8 cm and h=4cm? Cut those squares from the 4 corners. Join the adjacent sides of the squares, vertically up, to get the open box 10x8x4 10 cm 4 cm 8 cm What is volume ? & How do you calculate volume? : What is volume ? & How do you calculate volume? Volume of a that spans uniformly over a height is the product of “ area of the base and the height” Volume of a cube = ( l 2 ) l = l 3 Volume of a cuboid = (l.b)h = l b h Volume the space occupied by an object. Volume is also referred to as capacity of an object. Unit of volume is cubic units, such as cubic cm, cubic m etc. Slide 9: 1 cm 1 cm 1 cm 1 cm 1 cm LINEAR UNITS SQUARE UNITS CUBIC UNITS The length of the line segment is 5 units. The area of the rectangle is 8 square units. The volume of the cuboid is 18 cubic units. UNITS IN DIFFERENT DIMENSIONS What is the volume of a cube of side 2 cm ?Volume of a cube = l 3 = 2 3 = 8cm 3 : What is the volume of a cube of side 2 cm ?Volume of a cube = l 3 = 2 3 = 8cm 3 Visualization:- 2 cm 2 cm 2 cm 2 cm 3 cm 4 cm What is the volume of cuboid 2cm x 3cm x 4cm ? Volume of a cuboid = l b h = 2 x 3 x 4 = 24 cm 3 Visualization:- Slide 11: Area = 8 square units Perimeter = 12 units For a geometrical object we measure total surface area and volume. Let us cut – open this box and measure the total surface area of this box. For a plane figure we measure perimeter and area. Slide 12: The total surface area of a cuboids is the area of its 6 rectangular faces. 6x6 square units 6x6 square units 6x4 square units 6x4 square units 6x4 square units 6x4 square units Slide 13: BACK FRONT TOTAL SURFACE AREA OF CUBOIDS Areas of the top and bottom surfaces = 2.l.b Areas of the right and left, vertical surfaces = 2.b.h Areas of the front and back side vertical surfaces = 2.h. l Total surface area of cuboids = 2.l.b + 2.b.h + 2.h. l = 2[ l.b + b.h + h. l ] I want to make a cuboid of l=10cm, b=8 cm and h=4cm? How much paper do I need? : I want to make a cuboid of l=10cm, b=8 cm and h=4cm? How much paper do I need? Total surface area of a cuboids is = 2 lb + 2 bh + 2 hl = 2 ( lb + bh + hl ) Total surface Area = 2 ( 10x8 + 8x5 + 10x5) =2 ( 80 + 40 + 50 ) = 2 (170 ) = 340 sq cm

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