Advertisements
Advertisements
Question
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
Advertisements
Solution
Let the level of the field be risen by h meters volume of the earth taken out from the pit
`7.5xx6xx0.8m^3`
Area of the field on which the earth taken out is to be spread (X)
`=18xx15-7.5xx6=225m^3`
Now, area of the field Xh = volume of the earth taken out from the pit
`⇒225xxh=7.5xx6xx0.8`
`⇒h=36/225=0.1m=16m`
APPEARS IN
RELATED QUESTIONS
Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs 30 per m3.
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that
`V^2` = `xyz`
The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
A cube of 9 cm edge is immersed completely in a rectangular vessel containing water. Ifthe dimensions of the base are 15 cm and 12 cm, find the rise in water level in the vessel.
A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.
Water in a rectangular reservoir having base 80 m by 60 m i s 6.5 m deep. In what time can the water be emptied by a pipe ôf which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.
A carpenter makes a box which has a volume of 13,400 cm3. The base has an area of 670 cm2. What is the height of the box?
A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the truck?
