Sample QuestionsSurface Area, Volume and Capacity questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A solid cuboid of metal has dimensions $24 \ cm, 18 \ cm$, and $4 \ cm$. Find its volume.
View full solution →Find the volume and the total surface area of a cuboid, whose : $ l = 3.5 m, b = 2.6 m$ and $h = 90 cm$
View full solution →Find the volume and the total surface area of a cuboid, whose : length $= 15 \ cm$, breadth $= 10 \ cm$ and height $= 8 \ cm.$
View full solution →The diameter of a garden roller is $1.4 m$ and it $2 m$ long. Find the maximum area covered by its $50$ revolutions?
View full solution →In a building, there are $24$ cylindrical pillars. For each pillar, the radius is $28 m$, and the height is $4 m$. Find the total cost of painting the curved surface area of the pillars at the rate of $₹ 8$ per $m^2.$
View full solution →Find the capacity of a cylindrical container with an internal diameter of $28\ cm$ and a height of $20\ cm$.
View full solution →The ratio between the curved surface area and the total surface area of a cylinder is $1: 2$. Find the ratio between the height and the radius of the cylinder.
View full solution →The curved surface area of a cylinder of height $14\ cm$ is $88\ cm^2.$ Find the diameter of the base of the cylinder.
View full solution →How many bricks will be required for constructing a wall which is $16\ m$ long, $3\ m$ high, and $22.5 \ cm$ thick, if each brick measures $25 \ cm \times 11.25 \ cm \times 6 \ cm$?
View full solution →A cuboid is $8$ m long, $12$ m broad and $3.5$ high, Find its $(i)$ total surface area $(ii)$ lateral surface area
View full solution →A cylindrical pillar has a radius of $21\ cm$ and a height of $4\ m$. Find : $(1)$The curved surface area of the pillar.$(2)$ cost of polishing $36$ such cylindrical pillars at the rate of ₹$12 $ per $m^2.$
View full solution →The total surface area of a cylinder is $6512\ cm^2$ and the circumference of its bases is $88\ cm.$ Find : $(i)$ its radius $(ii)$ its volume
View full solution →Find the height of the cylinder whose radius is $7\ cm$ and the total surface area is $1100\ cm^2.$
View full solution →A solid cube of side $12 cm$ is cut into $8$ identical cubes. What will be the side of the new cube? Also, find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.
View full solution →The length of a hall is double its breadth. Its height is $3 m$. The area of its four walls $($including doors and windows$)$ is $108\ m^2,$ find its volume.
View full solution →The floor of a rectangular hall has a perimeter $250\ m$. If the cost of painting the four walls at the rate of $₹ 10\ per\ m^2$ is ₹. $15,000,$ find the height of the hall.
View full solution → The curved surface area and the volume of a toy, cylindrical in shape, are $132 \ cm^2$ and $462\ cm^3$ respectively. Find, its diameter and its length.
View full solution →The external dimensions of an open wooden box are $65 \ cm, 34 \ cm$, and $25 \ cm$. If the box is made up of wood $2 \ cm$ thick, find the capacity of the box and the volume of wood used to make it.
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