Surface Areas and Volume Class 9 Worksheet Maths

Multiple Choice Questions

Q1: The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area of  our walls of room?
(a) 636 m²
(b) 516 m²
(c) 800 m²
(d) 456 m²

Q2: The plastic paint in a Asian paint container is sufficient to paint an area equal to 93.75m². How many blocks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container
(a) 100
(b) 800
(c) 940
(d) 1000

Q3: Curved surface area of a cone is 308 cm² and its slant height is 14 cm.
(a) Radius of the cone is 7 cm
(b) total surface area is 462 cm²
(c) Height of the cone is √147 cm
(d) None of the above

Q4: Sita had to make a model of cylindrical kaleidoscope for her science project. She wanted to use black chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length 30cm with a 2.7 cm radius? (Use p = 22/7)
(a) 1320 cm²
(b) 1400 cm²
(c) 986 cm²
(d) None of these

Q5: The radii of two cones are in the ratio of 2:3 and their heights are in the ratio of 7:3. The ratio of their volumes is
(a) 20:27
(b) 28:27
(c) 28:27
(d) None of these

Q6: Find the maximum length of the rod that can be kept in cuboidal box of sides 30cm, 20cm and 10cm.
(a)
(b)
(c)
(d) None of these

Q7: A box is made entirely of glass panes (including base) held together with tape. It is 3 cm long, 2.5 cm wide and 2.5 cm high. How much of tape is needed for all the 12 edges?
(a) 30cm
(b) 32cm
(c) 40 cm
(d) None of these

Fill in the blank

Q1: A cylinder radius is doubled and height is halved, the curved surface area of the cylinder will ____ (Increase/decrease/remain same)

Q2: The radius of the sphere is 7 cm, the surface area of the sphere is____ (616 cm² / 700 cm²/ 800 cm²)

Q3: Three cubes whose sides are 6 cm, 8 cm and 10 cm. They are melted and form a big cube. The volume of the big cube is ___ (1800cm³/1728 cm³)

Q4: The total surface area of a hemisphere of radius 10 cm using value of π = 3.14 is _____(956 cm²/942 cm²)

Q5: A right circular cylinder just encloses a sphere of radius. The ratio of there surface area is ______ (1:1 / 1:2)

Q6: The lateral surface area of a cube is 256 m², the volume is ____ (456 m³/512 m³)

True / False

Q1: A cylinder, hemisphere and cone stand on equal base and same height, the Volume ratio is 3:2:1.

Q2: The radius of a solid sphere is 24 cm. 8 spheres can be made from it of 12cm radius.

Q3: radius of the cone is doubled and height is halved, the volume will be halved.

Q4: A river 10m deep and 40m wide is flowing at the rate of 2m per min. 48000m³ water will flow into the sea from river.

Q5: A cylinder radius is halved and height is doubled, the volume will become halved.

Q6: The side of the cube is 4 cm, the diagonal length is  cm.

Subjective Type Questions

Q1: Ramesh has build a cuboidal water tank with lid for his house with each outer edge 1.5m long. He gets the outer surface of tank excluding the base, covered with square tiles of side 25cm. Find how much he would spend for tiles, if cost of the tile is Rs 400 per dozen.

Q2: The diameter of a roller are 84cm and its length is 120cm. It takes 500 complete revolutions to move once more over to level a playground. Find area of playground in m²?

Q3: In a hot water heating system, there is a cylindrical pipe of length 28m and diameter 5cm. Find the total radiating surface in system?

Q4: Three cubes of each side 4cm are joining end to end. Find the surface area of resulting cuboid

Q5: A river 3m deep and 40m wide is flowing at the rate of 2km/hr. How much water will fall into the sea in a minute?

Q6: The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20cm and height 10m. How much concrete mixture would be required to build 14 such pillars?

The solutions of the worksheet "Worksheet Solutions: Surface Areas and Volume"