About This Booklet on Surface1 Areas and Volumes
About This Booklet on Surface Areas and Volumes
This Particular Booklet has been designed for the students of Math Class 10 (CBSE Board). However, it will also help those who have these chapters in their curriculum or want to gain the knowledge and explore the concepts.
This Booklet explains: 1. Cube, Cuboid and Cylinder 2. Cone and Frustum 3. Sphere and Hemisphere 4. Combination of solids
This Booklet also covers: 1. MCQs 2. Questions with Solutions 3. Questions for practice and 4. QR Codes to scan and watch videos on Surface Areas and Volumes
QR codes when scanned with mobile scanner take you to our YouTube channel Let’sTute (www.youtube.com/letstute) where you can watch our free videos (need internet connection) on the topic. For Surface Areas and Volumes, in total, we have 8 videos which are accessible on several other platforms as described on the back cover of this Booklet.
However, if there is any query, feel free to connect with us on the details given on the last page.
Some other documents are also available:
About Let’s Tute Let’sTute (Universal Learning Aid) is an E-learning company based in Mumbai, India. (www.letstute.com) We create content for Mathematics, Biology, Physics, Environmental Science, Book-Keeping & Accountancy and also a series on value education known as V2lead
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13 .1 Cube, Cuboid and Cylinder
Scan to watch the video on INTRODUCTION Surface area and Volume
Surface Area: It is the sum of total exposed area of a three dimensional solid object. Its unit
can be in the form cm2, m2 etc.
Volume: It is the amount of space occupied by an object. Its unit can be cm3, m3, etc.
Cuboid: A cuboid is the solid shape which has six rectangle faces at right angles to each other.
Cube: A cube is a special form of cuboid which is bounded by six equal square faces.
Right Circular Cylinder: A solid obtained by revolving a rectangular lamina about one of its sides, is called as Right Circular Cylinder.
Total Surface Area and Volume for Cube, Cuboid and Cylinder
MCQs (Multiple Choice Questions)
1. A cube is special type of cuboid. Scan to watch the video on A)True B)False Volume of cube, cuboid & cylinder
2. Volume of any object is nothing but its maximum capacity of storage. A)True B)False
3. A cube is three dimensional objects bounded by _ _ _ _ equal square faces. A)Five B)Six C)Four D) None of these
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4. A cube of sides 6 m will have volume_ _ _ _ A)216 m2 B) 216 m3 C) 216 cm2 D) 216 m
5. If the radius of cylinder is doubled then the curved surface area of cylinder will be _ _ _ _ as compared to previous. A)Same B) Doubled C) Thrice D) None of these
6. What is the surface area of a cube having edges of length 15 cm? A)1350 B)225 C)1350 D) 1500 7. What iscm the length ofcm side of a cube ifcm the total surfacecm area of cube is 726 cm2? A)11 B)16 C)72 D) None of these
8. If thecm area of one face of cube cm is 169 cm2 thencm what will be the volume of cube. A) 1300 B) 4238 C) 5642 D) 2197 9. If the perimeter cm of onecm face of the cube is 28 cmcm then what willcm be its volume. A) 343 B) 343 C) 437 D) 473 10. What iscm the surface areacm of cuboid with cm dimension in m are cm 12×10×15 A) 1200 B) 900 C) 920 D) 940 11. Total Surfacem Area ofm Right Circularm Cylinder is _ _ _ _ m A) B) C) D) None of these
12. What 휋 ℎis the + curved surface 휋 area ℎ × of Cylinder 휋 ℎwhen − radius is 14 cm and height is 15 cm. [ π = 22/7] A) 1300 B) 2100 C) 1320 D) 4242 13. How many liters of water will be stored in a cylindrical tank of radius 3 m and height 7 m. [ Hint 1 m3 =1000 Liters take π = 22/7] A) 28640 B) 254000 C) 198000 D) None of these
Answers: 퐿 퐿 퐿
1.(A), 2.(A), 3.(B), 4.(B), 5.(B), 6.(C), 7.(A), 8.(D), 9.(A) 10.(B) 11.(A) 12.(C) 13.(C)
Solved Questions
Q.1 Find the Total cost of painting the four walls of cuboidal room at the rate of 13 Rs per m2.The Dimension of the Cuboidal room are of length 10m , breadth 5m and height 6m. Given: For Cuboidal Room, Rate of Painting = 13 Rs/m2, l = 10m, b = 5m, h = 6m
Solution: An Approach: As we have to paint only the walls, surface area of roof and floor so are not taken into calculation
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Vertical surface area of cuboid (four walls) =
= 2(10+5) × 6 + × 풉 h = 2(15) × 6
= 180 b Vertical surface area of cuboid = 180 m2. l
Total cost of painting four walls = Vertical surface area of cuboid × Rate of painting wall/m2 = 180 m2 × 13 = 2340 Ans. Therefore Cost of Painting the four walls is Rs 2340
Q.2 A cuboidal pillar of dimension 600 cm × 55 cm × 25 cm made of wood which weights 200kg/m3. What will be the weight of the pillar?
Given: Tips: Please remember to convert For Pillar [cuboid] dimensions from centimeter to meter as Length = 600cm = = 6m weight is given kg/m3.