The document provides a detailed overview of frustums, including their geometric definition as portions of cones or pyramids between two parallel planes. It includes formulas for calculating the surface area and volume of frustums and gives examples of frustums in everyday life, such as drinking glasses and buckets. Additionally, it poses a question regarding the calculation of the capacity of a drinking glass shaped like a frustum.

2. AUTUMN BREAK HOLIDAY
HOME WORK
FRUSTUM AND IT’S
MENSURATION.

3. CONTENTS
 FRUSTUM
 BASIC INFORMATION ABOUT
FRUSTUM
 SURFACE AREA OF FRUSTUM
 VOLUME OF FRUSTUM
 SMALL INFORMATION ON
VOLUME OF FRUSTUM
 FRUSTUM IN DAILY LIFE.
 QUESTION BASED ON FRUSTUM.

4. FRUSTUM

5. FRUSTUM CONE RELATIONSHIP.

6. BASIC INFORMATION ABOUT FRUSTUM.
• In geometry, a frustum (plural: frusta or frustums) is
the portion of a solid (normally a cone or pyramid)
that lies between two parallel planes cutting it. A
right frustum is a parallel truncation of a right
pyramid.

7. 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

8. VOLUME OF FRUSTUM
VOLUME OF A FRUSTUM:
1/3 ПH(R 2+R 2+RR)

9. A FRUSTUM MAY BE FORMED FROM A RIGHT CIRCULAR
CONE BY CUTTING OFF THE TIP OF THE CONE WITH A CUT
PERPENDICULAR TO THE HEIGHT, FORMING A LOWER BASE
AND AN UPPER BASE THAT ARE CIRCULAR AND
PARALLEL. CONSIDER THE RIGHT CIRCULAR CONE.
LET H BE THE HEIGHT, R THE RADIUS OF THE LOWER BASE,
AND R THE RADIUS OF THE UPPER BASE. ONE PICTURE OF
THE FRUSTUM IS THE FOLLOWING.
GIVEN R, R, AND H, THE VOLUME OF THE FRUSTUM WILL BE-
1/3 ПH(R 2+R 2+RR)

10. FRUSTUM IN DAILY LIFE.
• CUP OF COLD DRINKS.
• POPCORN CARRIER.
• PYRAMIDS.
• BUCKET
• FOOD BOWL

11. QUESTION BASED ON FRUSTUM.
• Question 1:
A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters
of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.
• ANSWER- Capacity of glass = Volume of frustum of cone
•
• Therefore, the capacity of the glass is.
•