Question

A rectangular prism has dimensions of 1/3, 3, and 5/3 in.

Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
What is the volume of the prism? Explain.
How many cubes with the edge length from part (a) will fit into the prism? Explain.


please don't answer if you have no answer for this, it wastes time and makes it harder for others to get the help they need, thank you.

Answer 1

Explanation:

The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when

`s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{(5)/(3)}in\\ \\ s\approx 1.19in`