Question

You need to cover the playground of a Child Development Center with mulch the playground is 125 feet long and 6 feet wide you want the march to be at least 6 inches deep how many cubic yards of mulch should you have delivered round your answer to the nearest whole number

Answer 1

It is basically asking how much stuff will it taken to fill a 3 dimensional space. to fill a space we have to find the volume shape. we can go to the basics and say first find the area of the rectangle. the equation for this is:
area = length * width

after that we can say that we want to find that area but for every rectangle that is 6 inches deep. that is what volume means. the areas of all the rectangles of a certain height stacked together. So we can say the equation for volume is:
volume = area * height

we know that area = length * width and can substitute that into the equation:
volume = length * width * height

but first it also asks to put the answer I cubic yards. So we must convert units to yards.

conversion for inches to feet is 12 inches per feet. And other one is 3 feet per hard
So conversions are:
depth = 6 inches * 1/12 feet/inches * 1/3 feet/yard
length = 125 feet * 1/3 feet/yard
width = 6 feet * 1/3 feet/yard
So so they equal :
1/6 yds
125/3 yds
2

So:
volume =1/6 * 125/3 * 2
v = 13.89 yds^3

rounded to nearest whole number is:
14 yds^3

Answer 2

V=xyz, where x,y, and z are the dimensions.

We simply have to be sure that we are using the required units, yards in the calculations...

V=(125ft(yd/3ft))*(6ft(yd/3ft))*(6in(yd/36in))

V=(125*6*6)/(3*3*36)

V=4500/324 yd^3

V≈14 yd^3 (to nearest whole yard)