cuboid presentation.pptx

In this presentation, You can learn -1. What is cuboid 2. Faces, Edges and Vertices of Cuboid, 3.Properties of Cuboid 4. Total surface area of cuboid 5. Lateral surface area of Cuboid 6.Volume of Cuboid 7. Questions based on TSA, LSA and V.olume of Cuboid

1. CUBOID: Surface Area Lateral Surface Area Volume Presented by : SHAMA WARSI Roll no. – 35 B.Ed. 2 nd year

2.  ARE THESE CUBOIDS?

3. WHAT IS CUBOID? The cuboid shape is a closed 3d figure that is enclosed by rectangular faces.

4. Faces, Edges and Vertices of Cuboid A cuboid has - 6 faces,  8 vertices and  12 edges

5. Faces, Edges and Vertices of Cuboid

6. SO A CUBOID IS.. A cuboid is a three dimensional solid that has 6 faces (rectangular), 8 vertices and 12 edges. A cuboid has three dimensions such as length, width and height. A perfect cuboid is said to be a cuboid that has integer edges.

7. PROPERTIES OF CUBOID A cuboid has 6 faces, 12 edges and 8 vertices. The faces of the cuboid are all rectangular in shape. Opposite edges of the cuboid are parallel to each other. Cuboid has three dimensions: length, width and height. Angles formed at the vertices of the cuboid are all 90 degrees.

8. SURFACE AREA OF CUBOID

9. Surface area of cuboid Total surface area of a cuboid = Sum of the areas of all its 6 rectangular faces = Area of ( ABCD + EFGH + BFGC + AEHD + DHGC + ABFE ) = (l × b) + (l × b) + (b × h) + (b × h ) + (l × h) + (l × h) = 2 lb + 2 bh + 2 hl = 2( lb + bh + hl ) L b h

10. LATERAL SURFACE AREA Lateral surface area of the cuboid = Area of face ADHE + Area of face BCGF + Area of face ABFE + Area of face DCGH = (AD × DH) + (BC × CG) + (AB × BF) + (CD × BC) = (b × h) + (b × h) + (l × h) + (l × h) = 2 (b × h) + 2 (l × h) = 2h(l + b) Lateral Surface Area (LSA) = 2h(l + b) sq.units

11. VOLUME OF THE CUBOID T he volume of a solid is equal to the product of the base area and its height. Volume = ( Length × Breadth ) × Height = ( l × b ) = l b h Volume (V) = (l  ×  b  ×  h) cubic units Length L Breadth b Height h

12. DIAGONAL OF CUBOID Diagonal = √(l 2  + b 2  + h 2 ) units

13. Measure Formula Lateral Surface Area (LSA) 2h(l + b) Total Surface Area (TSA) 2(lb + bh + hl) Volume lbh Diagonal √(l 2  + b 2  + h 2 ) Perimeter 4(l + b + h) Cuboid Formulas

14. PROBLEM BASED ON VOLUME OF CUBOID         V = lbh     = 10×4×5    = 200cm^3 Q : Find the volume of this cuboid (cm)-

15. Problems based on cuboid Q : Find the surface area of this cuboid (cm):-     A = 2(lb + bh + hl)   = 2(10×4 + 4×5+ 5×10)   = 80 + 40 + 100   = 220cm^2

16. Problem based on cuboid Q: Calculate the lateral area of a cuboid of dimensions 12 cm × 7 cm × 5 cm. Solution: Lateral surface area (LSA) = 2h(l + b) = 2 × 5 (12 + 7) = 10 × 19 = 190 cm 2 12 7 5

17. Thank You