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Mathematics 21 Online
OpenStudy (anonymous):

guys please help :((

OpenStudy (anonymous):

A cubic ice cube weighs 920 grams. If the density of ice is .92g/cm^3, then at least how many sucj ice cubes would it take o build a towr that is three meters tall? there are 100cm in a meter. A) 23 B) 21 C) 25 D) 30 E) 34

OpenStudy (anonymous):

density = mass/volume. use the density and mass to find the volume of an ice cube. the length of one side of a cube is length^3, so find the cubic root. 3*100cm/(length of one cube) = how many ice cubes to build the tower

OpenStudy (anonymous):

Knowing that there are .92grams of ice in a cubic centimeter, we can calculate the size of the ice cube. \[920\div.92\] That gives us 1000 cubic centimeters in the 920 gram ice cube from the equation \[Density = Mass \div Volume\] Knowing that it is a cube it must have equal sides so we take the cube root of 1000 to find the height of the cube. \[\sqrt[3]{1000} = 10cm\] Now we know that each cube is 10cm high, which means we need 10 of them to make the 100cm tower

OpenStudy (anonymous):

but they want it in meter

OpenStudy (anonymous):

Alright then, if each cube is 10cm and you want it to be 3 meters tall ie 300cm then you need 30 of them

OpenStudy (anonymous):

Answer D

OpenStudy (anonymous):

thank you very much :)

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