Calculating the volume of water in the tank

To calculate the volume of water in the tank, we can use the formula V = l × w × h, where V is the volume, l is the length, w is the width, and h is the height of the tank.

Converting cm to liters

Before we use the formula, we need to convert the dimensions of the tank from centimeters to liters. We can do this by multiplying the dimensions together and dividing by 1,000. This is because 1 liter is equal to 1,000 cubic centimeters.

So, the volume of the tank in liters is:

V = 5.6 cm × 8.2 cm × 12.8 cm ÷ 1,000
= 0.0464384 liters

Calculating the volume of water

Now that we know the volume of the tank in liters, we can calculate the volume of water. We assume that the tank is completely filled with water.

Therefore, the volume of water in the tank is also 0.0464384 liters.

Rounding to four significant figures

To round the answer to four significant figures, we need to look at the fourth digit after the decimal point. If it is 5 or greater, we round up the third digit. If it is less than 5, we leave the third digit as it is.

In this case, the fourth digit is 8, which means we round up the third digit. So, our final answer is:

Volume of water in the tank = 0.04644 liters (correct to four significant figures)

Volume = l × b × h
= 5.6 × 8.2 × 12.8
= 587.776 cm *3
for four significant figures the answer is 587.7 cm*3 .