How many pieces of stone slabs each 30 cm long and 13 cm broad will be required to lay a path 300 m long and 18 m wide.
A: 12000
B: 138462
C: 120000
D: 54000
To find the number of stone slabs needed to lay a path, we can first calculate the area of the path and then determine how many slabs are required to cover that area.
The area of the path is given by the product of its length and width:
Area = Length × Width
For the given path:
Length = 300m
Width = 18m
Area = 300m × 18m
A = 5400m²
Now, convert the area to square centimeters (since the dimensions of the slabs are given in centimeters):
1m² = 10000cm²
therefore 5400 m² = ?
(5400*10000) / 1
area in cm² = 54,000,000 cm²
Now, calculate the area of each stone slab:
Area of one slab
Area of one slab = Length × Breadth
For the given slabs:
Length of one slab = 30cm
Breadth of one slab = 13cm
Area of one slab = 30cm × 13cm
Area of one slab = 390cm²
Now, find the number of slabs needed by dividing the total area of the path by the area of one slab:
Number of slabs = (total area of path / area of one slab)
Number of slabs = 54,000,000 /390
Number of slabs = 138461.538
sinc you cannot have a fraction of a slab, you round up to the nearest whole number.thus
Number of slabs = 138462
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