It takes a hose 5 minutes to fill a rectangular aquarium 11 inches long, 13 inches wide, and 14 inches tall. how long will it take the same hose to fill an aquarium measuring 21 inches by 24 inches by 30 inches?

volume of 1st aquarium = 11 * 13 * 14 = 2002
volume of 2nd aquarium = 21 * 14 * 30 = 8820

if 5 minutes = 2002
1 minute = 2002\5 = 400.4

minutes to fill the 2nd aquarium is 8820/400.4 = 22.028(approximately)

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aachen aachen · Answer 2 · 2019-09-17T21:53:11+02:00

Answer:

37.76 minutes (Approximately)

Step-by-step explanation:

Given: It takes a hose 5 minutes to fill a rectangular aquarium 11 inches long, 13 inches wide, and 14 inches tall.

To find: Time taken to fill an aquarium measuring 21 inches by 24 inches by 30 inches.

Solution: We know that volume of a rectangular prism is [tex]l\times b\times h[/tex]

So, volume of rectangular aquarium measuring 11 inches long, 13 inches wide, and 14 inches tall is [tex]11\times13\times14=2002[/tex] cubic inches.

It is given that the hose take 5 minutes to fill the aquarium.

So, we can say that 2002 cubic inches is filled in 5 minutes.

Therefore, in 1 minute [tex]\frac{2002}{5}=400.40[/tex] cubic inches is filled.

Now, volume of the aquarium measuring 21 inches by 24 inches by 30 inches is [tex]21\times24\times30=15120[/tex] cubic inches.

So, time taken to fill 15120 cubic inches

[tex]=\frac{15120}{400.40}[/tex]

[tex]=37.76[/tex] minutes (Approximately)