Question

A pit is dug in the shape of a cuboid with dimensions 10m x 8m x 3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m x 30m. What is the increase in the level of the plot?

Answer 1

Volume of a cuboid = l × b × h

Volume of earth dug out = 10 × 8 × 3 = 240 m^3

Now ,

Volume of earh dug = 40 × 30 × height of the rectangular plot

240 = 40 × 30 × h


240 = 1200 × h

240 = 1200h

h = 240 / 1200 = 20 / 100 = 1 / 5 = 0.2

h = 0.2 m

So the plot height increased by 0.2 m or 200cm.

Hope it helps you :-)

Answer 2

Answer:20cm

Step-by-step explanation:

Let the level of the plot increase by h

Volume of earth = v of pit

40*30*h= 10*8*3

h= 10*8*3/40*30

Level of plot will incerase by 1/5 i.e. by 100/5 i.e. 20cm