What you're solving for  Specifications and sizes of spectrophotometer cuvettes with path lengths of \(10\), \(40\), and \(50\) mm.  What's given in the problem  Cuvette path lengths: \(10\) mm, \(40\) mm, and \(50\) mm.  Helpful information  Standard cuvettes have an outer width of \(12.5\) mm and a height of \(45\) mm.  How to solve  List the specifications including volume and outer dimensions for each cuvette size. 

 Step 1 . Specifications for \(10\) mm cuvette Path length: \(10\) mm Volume: \(3.5\) mL Outer dimensions: \(12.5\) mm x \(12.5\) mm x \(45\) mm 

Step 2 . Specifications for \(40\) mm cuvette Path length: \(40\) mm Volume: \(14\) mL Outer dimensions: \(12.5\) mm x \(42.5\) mm x \(45\) mm

 Step 3 . Specifications for \(50\) mm cuvette Path length: \(50\) mm Volume: \(17.5\) mL Outer dimensions: \(12.5\) mm x \(52.5\) mm x \(45\) mm Solution 

 Specifications and sizes of cuvettes with path lengths of \(10\), \(40\), and \(50\) mm are listed above.