Select the correct answer. The dimension of a rectangular tank filled with water is 50m × 16m × 60m. At a certain instant, the tank begins to drain. Find the rate at which the volume of water is drained if the depth of water is changing at a rate of 12 m/min.
(V = length × width × height)
A.
-1,920 m3/min
B.
-6,000 m3/min
C.
-8000 m3/min
D.
-9,600 m3/min

answer: it is d

step-by-step explanation:

6 and 24

step-by-step explanation:

6 x 4 = 24

4+4+2x

or

2x+8

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3