how many piecrs of stone slabs,each 24 cm long and 15 cm broad will be required to lay a path 18 m long and 12m wide
Answers
Area of each stone slab = ( 24 × 15 ) sq.cm = 360 sq.cm
Total number of pieces of stone slabs required = ( 2160000 ÷ 360 ) = 6000
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6000 stone slabs will be required.
Given :
- Length and breadth of the stone slabs = 24cm and 15cm, respectively
- Length and breadth of the path = 18m and 12m, respectively
To find : Number of stone slabs required to lay the path.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of required stone slabs)
First of all, we will be converting the dimensions of the path in cm unit, for the sake of easier calculations.
So,
Length of the path = 18m = 18 × 100 = 1800 cm
Breadth of the path = 12m = 12 × 100 = 1200 cm
(As, 1 m = 100 cm)
Now,
Area of path = Length × Breadth = (1800 × 1200) = 2160000 cm²
Area of a stone slab = Length × Breadth = (24 × 15) = 360 cm²
Numbers of required stone slabs = Area of path ÷ Area of a stone slab = 2160000 ÷ 360 = 6000
(This will be considered as the final result.)
Hence, 6000 stone slabs will be required.