Question

please help find out how much water is needed(in cubic inches) to make ten legos brick ice cubes

Answer 1

The lego has standard brick as shown in the figure.

It comprizes of 8 cylindrical shapes and one rectangular parallelopiped.

The volume of the lego is the volume of 8 cylinders plus the volume of the parallelopiped.

$V_{cyl}=\pi\times r^2\times h=\pi\times(\frac{3}{32})^2\times\frac{1}{16}=\frac{9}{16384}\pi$

So the volume of all cylindrical shapes combined is:

$V_{totcyl}=8V_{cyl}=8\times\frac{9}{16384}\pi=\frac{9}{2048}\pi in^3$

The volume of the paralleopiped is:

$V_p=l\times w\times h=\frac{5}{4}\times\frac{5}{8}\times\frac{3}{8}=\frac{75}{256}in^3$

Hence the total volume is:

$V_{tot}=V_{totcyl}+V_p=\frac{9}{2048}\pi+\frac{75}{256}\approx0.3068in^3$

Hence the volume of water needed to make lego ice cube is 0.3068 cubic inches per brick.

For 10 bricks the water needed will be 3.068 cubic inches.