Case Study Chapter 12 Surface Area and Volume Mathematics

Please refer to Case Study Chapter 12 Surface Area and Volume Mathematics with answers provided below. These case study based questions are expected to come in the upcoming Class 10 Mathematics examinations. We have provided case study questions class 10 maths for all chapters on our website as per the latest examination pattern issued by CBSE, NCERT, and KVS.

Chapter 12 Surface Area and Volume Case study Questions Class 10 Maths

I Adventure camps are the perfect place for the children to practice decision making for themselves without parents and teachers guiding their every move. Some students of a school reached for adventure at Sakleshpur. At the camp, the waiters served some students with a welcome drink in a cylindrical glass and some students in a hemispherical cup whose dimensions are shown below. After that they went for a jungle trek. The jungle trek was enjoyable but tiring. As dusk fell, it was time to takeshelter. Each group of four students was given  a canvas of area 551m². Each group had to make a conical tent to accommodate all the four students. Assuming that all the stitching and wasting incurred while cutting, would amount to 1m², the students put the tents. The radius of the tent is 7 m.

Question. Which container had more juice and by how much?   
(a) Hemispherical cup, 195 cm³
(b) Cylindrical glass, 207 cm³
(c) Hemispherical cup, 280.85 cm³
(d) Cylindrical glass, 314.42 cm³

Question. The volume of cylindrical cup is   
(a) 295.75cm³
(b) 7415.5cm³
(c) 384.88cm³
(d) 404.25cm³

Question. The height of the conical tent prepared to accommodate four students is   
(a) 18m
(b) 10m
(c) 24m
(d) 14m

Question. The volume of hemispherical cup is     
(a) 179.67cm³
(b) 89.83 cm³
(c) 172.25 cm³
(d) 210.60 cm³

Question. How much space on the ground is occupied by each student in the conical tent   
(a) 54m²
(b) 38.5m²
(c) 86m²
(d) 24m²

II The Great Stupa at Sanchi is one of the oldest stone structures in India, and an important monument of Indian Architecture. It was originally commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus was a simple hemispherical brick structure built over the relics of the Buddha. .It is a perfect example of combination of solid figures. A big hemispherical dome with a cuboidal structure mounted on it. Take π = 22/ 7 

Question. The cloth require to cover the hemispherical dome if the radius of its base is 14m is   
(a) 1222 sq.m
(b) 1232 sq.m
(c) 1200 sq.m
(d) 1400 sq.m

Question. The volume of the cuboidal shaped top is with dimensions mentioned in
(a) 182.45 m³
(b) 282.45 m³
(c) 292m³
(d) 192m³

Question. Calculate the volume of the hemispherical dome if the height of the dome is 21 m –   
(a) 19404 cu. m
(b) 2000 cu .m
(c) 15000 cu. m
(d) 19000 cu. m

Question. The total surface area of the combined figure i.e. hemispherical dome with radius 14m and cuboidal shaped top with dimensions 8m × 6m × 4m is   
(a) 1200 sq. m
(b) 1232 sq. m
(c) 1392 sq.m
(d) 1932 sq. m

Question. The formula to find the Volume of Sphere is-   
(a) 2/3 π r³ 
(b) 4/3 π r³ 
(c) 4 πr²
(d) 2 πr² 

III On a Sunday, your Parents took you to a fair. You could see lot of toys displayed, and you wanted them to buy a RUBIK’s cube and strawberry ice-cream for you. Observe the figures and answer the questions-: 

Question. What is the curved surface area of hemisphere (ice cream) if the base radius is 7cm?   
(a) 309 cm²
(b) 308 cm²
(c) 803 cm²
(d) 903 cm²

Question. The total surface area of cone with hemispherical ice cream is   
(a) 858 cm²
(b) 885 cm²
(c) 588 cm²
(d) 855 cm²

Question. The length of the diagonal if each edge measures 6cm is   
(a) 3√3
(b) 3√6
(c) √12
(d) 6√3

Question. Slant height of a cone if the radius is 7cm and the height is 24 cm   
(a) 26cm
(b) 25 cm
(c) 52 cm
(d) 62cm

Question. Volume of the solid figure if the length of the edge is 7cm is-   
( a) 256 cm³
(b) 196 cm³
(c) 343 cm³
(d) 434 cm³

We hope you liked the above provided Case Study Chapter 12 Surface Area and Volume Mathematics case study questions class 10 maths provided above. Please let us know in the comments box below if you have any questions.