Digging a rectangular prism for a pool. it is 42 ft × 29.5 ft × 8ft. the hauling truck holds 452.5 cubic feet away in a load . how many truckloads of dirt will have to be hauled away to finish the job?

The volume of the prism = 42 * 29.5 * 8

= 9912 ft^3

Number of truckloads  needed = 9912 / 452.5

=  21.90

So the answer is 22 truckloads.

Recall that the amount of dirt that the truck hauls away will equal the volume of the pool.

If the pool's dimensions are 42 ft x 29.5 ft x 8 ft

and Volume = base * width * height

we can denote the base as 42 ft, the width as 29.5 ft, and the height as 8 ft.

Pool volume = 42 * 29.5 * 8

Pool volume = 9,912 cubic ft

Therefore

Dirt volume = 9,912 cubic ft

Assume the hauling truck is at capacity with 425.5 cubic feet.

If we want to know how many truckloads will need to be taken away, and we know how the volume of the dirt that will need to be removed and how much a truck will hold, then we need to divide our total volume of dirt by the volume of dirt that one truck can carry.

Number of truckloads = 9,912 ÷ 425.5

Number of truckloads = 23.295

Because the truck will still have extra after his 23rd haul, it will still have to make one last haul away, despite not being full.

We can then round up 23.295 truckloads to 24 truckloads.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

answer: plz put a pic in so i can answer it

step-by-step explanation: