Question 1 :
The side of a cube is 10 cm. What is its volume ?
Question 2 :
The number of bullets of radius 2 cm that can be made from a cube of lead whose side is 44 cm is
Question 3 :
A closed metal box measures $30 cm \times20 cm \times 10 cm $. Thickness of the metal is 1 cm. The volume of the box is
Question 4 :
A cylindrical tennis ball container can contain maximum three ball stacked on one another. The top and bottom balls also touch the lid and the base of the base of the container respectively. If the volume of a tennis ball is 240 $cm^3$, then what is the volume of the container?
Question 5 :
What is the volume of a cube whose surface area is 150 $\displaystyle { m }^{ 2 }$?
Question 6 :
A cuboid has a volume of 64000 cm$^3$. If the ratio of <span>its sides are 1 : 2 : 4, then the largest side is</span>
Question 7 :
In the above question the cylinders formed will have their volumes in the ratio of
Question 8 :
If the area of 4 walls of the hall whose breadth is 15 m and height is 8 m is $ \displaystyle 1068 m^{2} $ then the length of the hall is
Question 10 :
The total surface area of a cube is $150\ cm^2$. Its volume is
Question 11 :
Three solid cubes of sides $1$cm, $6$cm and $8$cm respectively are melted to form a new cube. Find the surface area of the cube so formed.
Question 12 :
Surface area of a cube is 1014 sq cm. Its volume will be
Question 14 :
The areas of three adjacent faces of a cuboid are z, y and z. then the volume of the cuboid is
Question 15 :
A rectangular sheet of paper $36$ cm $\times$ $22$ cm , is rolled along its length to form a cylinder. Then the volume of <span>cylinder so formed is</span>
Question 16 :
A rectangular piece of paper $11$ cm $\times$ $4$ cm is folded without overlapping to make a cylinder of height $4$ cm. What will be volume of the cylinder ?
Question 17 :
Three cylinders each of height $16$ cm and radius of base $4$ cm are placed on a plane, so that each cylinder touches the other two. Then the volume of region enclosed between the three cylinders in $cm^3$ is
Question 18 :
A container with a rectangular base of length $4.4$ m and breadth $2$ m is used to collect rain water. The height of the water level in the container is $4$ cm and water is transferred into a cylinder vessel with radius $40\ cm$. What will be the height of water level in the cylinder?
Question 19 :
One cubic meter of copper is melted and recast into a square cross- section bar $36 m$ long. An exact cube is cut off from this bar. If $1$ cubic meter of copper costs $Rs 108$, then the cost of this cube is
Question 20 :
The volume of a right circular cylinder whose curved surface area is $2640c{m^2}$ and circumference of its base is $66cm$, is :
Question 21 :
If a solid right circular cylinder made of iron is heated to increase its radius and height by $1 \%$. each, then the volume of the solid is increased by<br/>
Question 22 :
Water flows through a cylindrical pipe of internal diameter $7$ cm at $2$ m per second. If the pipe is always half full then what is the volume of water (in litres) discharged in $10$ minutes ?
Question 23 :
If solid cylinder has total surface area $\displaystyle 1000{ cm }^{ 2 }$ and its curved surface area is $\displaystyle \frac { 1 }{ 4 } $ of $d$. What is the volume of cylinder?
Question 24 :
Water is being pumped out through a circular pipe whose diameter is $p$ cm. If the flow of water is $14 p$ cm per second, how many litres of water are being pumped out in one hour? (Take $\pi$ = 22 / 7)
Question 25 :
Three cubes with sides in the ratio $3 : 4: 5$ are melted to form a single cube whose diagonal is $\displaystyle 12\sqrt{3}$ cm. The sides of the cube are: