# Math Help - Mensuration

1. ## Mensuration

A field is 150 m long & 100 m wide. A plot (outside the field) 50 m long & 30 m wide is dug to a depth of 8 m & the earth taken out from the plot is spread evenly in the field. By how much is the level of the field raised?

Thanks,

Ron

2. First, as I'm sure you knew, you have to find the volume of the plot. Notice how you have a 3D object (being the plot), and a 2D object (being the field). Essentially, you need to turn that field into a 3D object by adding an unknown height. So, you will have a box 150 wide, 100 long, and x deep. You are now left with this equation:

$(150)(100)(x) =$ volume of plot

150x100xh=50x30x8
15000h=12000
h=12000/15000
h=0.8m (or 80 cm)

Am I correct?

Thanks,

Ron

4. Yep, completely correct