Question

an aquarium approximates a cube with a surface area of 1014 square feet water was poured into the empty aquarium ar a rate if 6 cubic feet per minute to the nearest minute how long did it take

Answer 1

Answer:

If the approximate surface area of the cubic aquarium is 1014 Square feet, if if water is poured at a rate of 6 cubic feet per minute, then it takes approximately about 366 minutes to fill the aquarium

Step-by-step explanation:

Given

The surface area of the cube = 1014 square feet

The surface area of the cube = 6*$side^{2}$

That is , 6*$side^{2}$ = 1014 Square feet

$side^{2}$ = 1014/6

$side^{2}$ = 169

Side = √169

= 13 feet

The capacity of the tank = volume of the aquarium

Volume of the aquarium=

$side^{3} \\\\= 13*13*13\\\\= 2197 cubic feet$

Given 6 cubic feet of water is poured per minute

So 6 cubic feet filled in 1 minute

1 cubic foot filled in 1/6 minutes

So, 2197 cubic feet fills in

$\frac{1}{6} *2197 \\\\= 366.1$

So it takes about 366 minutes to fill the aquarium