Q. 264.5( 2 Votes )
A mason constructs a wall of dimension (270 cm × 300cm × 350cm) with bricks, each of size (22.5cm × 11.25cm × 8.75cm) and it is assumed that 1/8 space is covered by the mortar. Number of bricks used to construct the wall is
Given: A wall of dimension (270 cm × 300cm × 350cm).
A wall of dimension (22.5cm × 11.25cm × 8.75cm).
space is covered by the mortar.
Here volume of the wall is covered by mortar, ∴ 1 – = volume of the wall is covered by bricks.
Volume of the cuboid is given by: lbh (here l, b, h are length , breadth, height respectively).
Let V1 be the volume of the wall.
∴ V1 = l × b × h = 270 × 300 × 350
⇒ V1 = 270 × 300 × 350 = 28350000 cm2
Let V2 be the volume of the brick.
∴ V2 = l × b × h = 22.5 × 11.25 × 8.75
⇒ V2 = 22.5 × 11.25 × 8.75 = cm2
Let ‘n’ be the number of bricks required to occupy volume of the wall.
∴ n × = 28350000 ×
⇒ n = 28350000 × × = 11200
∴ n = 11200
That is 11200 bricks required to occupy volume of the wall.
Rate this question :
The largest cone is curved out from one face of solid cube of side 21 cm. Find the volume of the remaining solid.RD Sharma - Mathematics
A solid toy is in the form of a hemisphere surmounted by a right circular come. Height of the cone is 2 cm and the diameter of the base is 4 cm. /if a right circular cylinder circumscribes the toy, find how much more space it will cover.RD Sharma - Mathematics
The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left.RD Sharma - Mathematics
An wooden toy is made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy.RD Sharma - Mathematics
A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m. find the capacity of the tent and the cost of the canvas at Rs. 100 per square metre.RD Sharma - Mathematics
A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the volume of the tent.RD Sharma - Mathematics
A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface and volume of the remaining cylinder.RD Sharma - Mathematics
A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with conical ends each of axis length 9 cm. Determine the capacity of the tank.RD Sharma - Mathematics
A vessel in the shape of a cuboid contains some water. If three identical spheres are immersed in the water, the level of water is increased by 2 cm. If the area of the base of the cuboid is 160 cm2 and its height 12 cm, determine the radius of any of the spheres.RD Sharma - Mathematics