you work as an engineer for a construction company. you are excavating a pit that is 1,200 feet long and 22…

you work as an engineer for a construction company. you are excavating a pit that is 1,200 feet long and 22 feet wide to a depth of 18 feet. you need to remove the dirt excavated from the site using dump trucks. a dump truck can carry 480 cubic feet of dirt per load. how many loads will be needed to carry away all the dirt excavated from the pit?\n\na. 2\nb. 3\nc. 70\nd. 814\ne. 815

you work as an engineer for a construction company. you are excavating a pit that is 1,200 feet long and 22 feet wide to a depth of 18 feet. you need to remove the dirt excavated from the site using dump trucks. a dump truck can carry 480 cubic feet of dirt per load. how many loads will be needed to carry away all the dirt excavated from the pit?\n\na. 2\nb. 3\nc. 70\nd. 814\ne. 815

Answer

Answer:

E. 815

Explanation:

Step1: Calculate volume of pit

$V = l\times w\times h=1200\times22\times15 = 396000$ cubic - feet

Step2: Determine number of truck - loads

Number of truck - loads $n=\frac{396000}{486}\approx814.81$ Since we can't have a fraction of a truck - load and we need to remove all the dirt, we round up to 815.