Question

Jean poured water into a rectangular tank at the right until is was 2/3 full. Then she poured some of the water out until it was 2/5 full. How much water did she pour out of the tank? Give your answer in millimeters.

Answer 1

Answer:

The amount of water she poured out of the tank is 27,000 m³.

Step-by-step explanation:

To answer the question, we take the dimensions of the tank as

Width = 0.5 m

Length = 0.2 m

Height = 1 m

Therefore, if the tank was was filled to 2/3 of the volume, then we have

Volume of water in the tank = 2/3 × 0.5 m × 0.2 m × 1 m

= 0.067 m³

She then poured out water until the tank was 2/5 full. That is

2/5 × 0.5 m × 0.2 m × 1 m = 0.04 m³

Therefore, the amount of water she poured out of the tank is

0.067 m³ - 0.04 m³ = 0.027 m³

However, 1 m³ = 1 × 10⁶ mm³

Therefore 0.027 m³ = 27,000 mm³

The amount of water she poured out of the tank = 27,000 m³.

Answer 2

Answer:

Jean poured 4/15 of the contents of the water out which is the equivalent of 267 milliliters (assuming the size of the tank is 1 liter)

Step-by-step explanation:

Let's assume the Tank size is 1 liter

Jean filled the tank 2/3 full

2/3 = 0.667

Jean reduced the water level to 2/5 full

2/5 = 0.40

Jean poured 0.667 minus 0.40 water out of the tank = 0.267

0.267 = 4/15

0.267 of 1 liter = 0.267 x 1000 = 267 Milliliters