Unit of Measure: Quiz 4

You may use a calculator for the questions in this quiz.

1) I am going to make a metal sculpture that has a volume of 450 cm^{3}. I am going to melt down cubes and the dimensions of these cubes are given below.

How many cubes will I need to ensure that I have enough metal to make the sculpture?

2) I have 300 cm^{3} of old plastic that I am going to recycle and make into reusable coffee cups. Each recycled coffee cup needs to have 65 cm^{3} of recycled plastic. What is the greatest number of coffee cups that I can make?

3) I am going to make a metal sculpture that has a volume of 125 cm^{3}. I am going to be melting down many small cuboids and the dimensions of these cuboids are given below.

What is the minimum number of cuboids that I need to use to ensure that I have enough metal to make the sculpture?

4) I have the metal block below.

I am going to melt this metal block down to make as many spheres that have a radius of 4 as possible.

What is the maximum number of spheres that I am able to make? Note: the formula for the volume of a sphere is: