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zimovet [89]
1 year ago
5

Cari knows that a certain species of fish need 240 cubic feet of water in their tank.the tank has a height of 12 feet and a widt

h of 10 feet. Solve to find the length of the tank and write the equation that could be used to solve where the "I" is used to represent the unknown value
Mathematics
1 answer:
pochemuha1 year ago
8 0

The equation that can be used to find the length of the tank is 240 = l × 12 × 10

<h3>How to find the volume of rectangular prism?</h3>

The volume of a rectangular prism can be found as follows:

volume of rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

volume of rectangular prism = lwh

volume of rectangular prism = 240 ft³

h = 12 ft

w = 10 ft

Therefore, the let's find the length of the tank.

240 = l × 12 × 10

240 = 120l

divide both sides by 120

l = 240 / 120

l = 2

learn more on volume here:brainly.com/question/21308574

#SPJ1

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A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
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Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

7 0
3 years ago
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