Density: A barge company wants to float supplies down the Kansas River. To make the most money, they want to fill the barge as much as possible. The barge has a length of 15 meters, a width of 6 meters, and a height of 2 meters. The company plans to load the barge with 200,000 kilograms of goods. What is the density of the barge in grams per cubic centimeter? Will the barge float?
Answers
Answer:
density of barge in grams per cubic centimetre is 1.1111...
it will not float
p= 1.11g/cm³. The barge will not float.
Given:
A barge company wants to float supplies down the Kansas River. To make the most money, they want to fill the barge as much as possible. The barge has a length of 15 meters, a width of 6 meters, and a height of 2 meters. The company plans to load the barge with 200,000 kilograms of goods.
To find:
What is the density of the barge in grams per cubic centimeter? Will the barge float?
Solution:
First, we have to find the volume of the barge as we have been given its length, width and height.
V= L x W x H
L = Length
W = Width
H= Height
First we will convert m to cm
L = 15 x 100cm/lm
=1500cm
W = 6 * 100 = 600 cm
H = 2 * 100 = 200 cm
V= 1500cm x 600cm x 200cm
V= 180000000cm³
Now, we will convert kg to grams
200,000kg x 1000g/lkg
M= 200000000g
Density is mass to volume.
P=m/v =200000000/180000000
p= 1.11g/cm³
the barge will not float because the density of the barge is greater than 1g/cm³which is the density of the water.
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