Question

a trench 10 m by 3 m is dug 1 m deep into the soil and the soil is taken out is spread over a square patch of ground of side 10 m. find the rise in the the level of patch

Answer 1

Volume of mud dug out = 10 ×3×1 m³ = 30 m³
a square patch of ground has equal length and breadth , i.e, 10 m
Area of the square patch = 10 ×10 m² = 100 m²
Let the rise in the level of the patch be x m
.
. . By the problem:

30 = 100 × x
=> x= 30/100
=> x= 3/10
.
. . x = 0.3 m
.
. . the rise in the level of the patch is 0.3m

Answer 2

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Volume of mud dug out = 10 ×3×1 m³ = 30 m³

a square patch of ground has equal length and breadth , i.e, 10 m

Area of the square patch = 10 ×10 m² = 100 m²

Let the rise in the level of the patch be x m

.

. . By the problem:

30 = 100 × x

=> x= 30/100

=> x= 3/10

.

. . x = 0.3 m

.

. . the rise in the level of the patch is 0.3m