The document is a PowerPoint presentation covering geometric shapes and their properties, including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It details formulas for surface area and volume for each shape, allowing for calculations based on given dimensions. The presentation was prepared by a group of students and submitted to a mathematics instructor.

1. New Era Progressive School
Session 2015-16
PowerPoint Presentation
Group Members :
• Khanak Sharma
• Priyanka Sahu
• Ravleen Kaur
• Ridhima Agarwal
• Samsriti Vohra
Submitted To :
Mrs. Mona Thakur
Mathematics

2. Contents
• Cube
• Cuboid
• Cylinder
• Cone
• Sphere
• Hemisphere
• Frustum

3. Surface Area Of Cube
Total surface area of cube = 6(side)²
Lateral surface area of cube = 4(side)²

4. Volume of cube
Volume of cube = (side)³

5. Surface area of cuboid
Total Surface Area Of cuboid = 2(lb+bh+lh)
Lateral Surface of Cuboid = 2(l+b)h

6. Volume of cuboid
Volume of cuboid – l Xb Xh

7. Surface area of cylinder
Curved surface area =2Пrh
Total surface area = Пrh +2Пr2
=2Пr(h+r)

8. Volume of cylinder
Volume of a cylinder: Пr2h

9. Surface area of cone
Total surface area of cone=П R(l+r)
Lateral surface area of cone= П Rl

10. Volume of cone
Volume of cone=1/3 Пr²h

11. Surface area of sphere
Surface area of a sphere: 4Пr2

12. Volume of sphere
Volume of a sphere: 4/3Пr 3

13. Surface area of hemisphere
Total surface area of a hemisphere =3Пr2
Curved surface area of a hemisphere =2Пr2

14. Volume of hemisphere
Volume of A cube = 2/3 Пr3

15. Surface area of frustum
Total Surface Area Of A Frustum = П(r+R)l + Пr 2 + ПR 2
= П(r+R)l + П(r 2+ R2)
Curved Surface Area Of A Frustum = П(r+R)l

16. Volume of frustum
Volume Of A Frustum = 1/3 Пh(r 2+R 2+Rr)