SOLUTION: A trench 5m�16m and 0.75m deep is dug. The earth taken out is spread uniformly to form a layer 12.5cm deep and 4m wide. What is the length of the layer?

Click here to see ALL problems on Geometry Word Problems

Question 1027518: A trench 5m�16m and 0.75m deep is dug. The earth taken out is spread uniformly to form a layer 12.5cm deep and 4m wide. What is the length of the layer?
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website!
A trench 5m�16m and 0.75m deep is dug.
Volume of Trench = 5*16*0,75 = 60 m^3
The earth taken out is spread uniformly to form a layer 12.5cm
deep and 4m wide. (cuboid)
4*0.125*l =90
l= 90/(4*0.125)
length = 180 m

length of the layer 180m

Answer by ikleyn(53742)   (Show Source):
You can put this solution on YOUR website!
.
A trench 5m x 16m and 0.75m deep is dug. The earth taken out is spread uniformly to form a layer 12.5cm deep
and 4m wide. What is the length of the layer?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

        Calculations in the post by @mananth are incorrect.
        I came to bring a correct solution.

A trench 5m x 16m and 0.75m deep is dug.
Volume of Trench = 5*16*0.75 = 60 m^3
The earth taken out is spread uniformly to form a layer 12.5cm
deep and 4m wide. (cuboid)
4*0.125*L = 60 m^3
L = 60/(4*0.125)
length = 120 m         <<<---===     ANSWER

Solved correctly.

Answer by josgarithmetic(39790)   (Show Source):
You can put this solution on YOUR website!
Two equal volumes, one unknown dimension in one of the expressions
, using all meter units

compute this.