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Elena L [17]
3 years ago
6

70 POINTS PLEASE HELP! A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length

2 feet. SEE PICTURE FOR REST

Mathematics
2 answers:
galina1969 [7]3 years ago
3 0

Answer:

A

Step-by-step explanation:

The volume of a rectangular prism is:

V=\ell wh

Since the prism has a square base, each side length being 2, this means that both the length and width of our prism is 2. Therefore:

V=(2)(2)h=4h

So, we can write:

V=4h

The height h increases at a rate of about 8 inches or 8/12 = 2/3 feet per minute.

So, after t minutes, the height will be 2/3(t) feet. Thus, we can substitute:

\displaystyle V=4\Big(\frac{2}{3}\Big)t=\frac{8}{3}t

We want to find after how long it will be until the volume is 64 cubic feet. So, V = 64:

\displaystyle 64 = \frac{8}{3} t

Solve for t:

\displaystyle t=\frac{3}{8}(64)=3(8)=24\text{ minutes}

The correct answer is A.

masha68 [24]3 years ago
3 0
  • My answer is 24 minutes
  • Hope it helps
  • #brainliestbunch
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