Units of volume and capacity?
The given tank measures: Height=50cm, length=40cm and width=20cm.
If the tank is filled with water, about how much will the water weigh?_____kg
please help me and explain how you got the answer. Thank You!
Answer:
(50cm)*(40cm)*(20cm) = 40 liters
so 50kg (the glass and stuff has mass too . . .)
Well start with the fact that one cubic cm is equal to 1ml. Find the volume of the container which is simple ( length x width x height) 50cm x 40cm x 20cm = 40,000 cubic cm.
So:
1000ml = 1L
40,000 cubic cm = 40,000 ml
Conversion:
40,000ml x (1L / 1000ml) x (1kg / 1 L) = 40kg
Since the dimensions of the tank is: Height=50cm, length=40cm and width=20cm
Volume = 50 * 40 * 20 cm^3 = 40000 cm^3 (or cc).
Density of water = 1 g/cc
We know that, density = mass/volume
therefore mass = density * volume
hence the mass of 40000 cc of water is:
= 1 g/cc * 40000 cc
= 40000 g
= 40 kg.
First you need the volume of the tank in cubic centimetres (cc).
Now to get the volume capacity in cc, we multiply all three of your measurements together: -
50cm x 40cm x 20cm
= 40,000cc (capacity of the full tank).
1cc of water = 1 gram
1,000cc = 1kg
Therefore, 40,000cc = 40kg of water.
(If the tank is not filled to capacity, measure the height of the water (depth) in cm and put this figure in place of the height figure in your measurements, and repeat the above calculation for the new volume of water).
The answers post by the user, for information only, FunQA.com does not guarantee the right.
More Questions and Answers: