# 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

D

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

D

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

C

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

B

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

B

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

B

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

D

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

A

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

C

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

B

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

B

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

A

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

D

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

B

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