Arectangular prism has a volume of 16 cm3 and a total surface area of 40 cm2. a similar prism has length 10 in., width 5 in., and height 5 in. what are the dimensions of the original prism? enter your answers in the boxes. length = cm width = cm height =

We know that
[volume of the similar prism]=10*5*5> 250 in³
volume original prism=16 cm³
 1 in³> 16.3871 cm³
X> 16
x=16/16.3871> x=0.9764 in³

[volume of the similar prism]=[scale factor]³*[volume original prism]
[scale factor]³=[volume of the similar prism]/[volume original prism]
[scale factor]³=[250]/[0.9764]> 256.05
scale factor=∛256.05> 6.35

the dimensions of the original prism are
1 in> 2.54 cm

length 10 in/6.35> 1.57 in*2.54 cm/in> 4 cm
width 5 in/6.35> 0.79 in*2.54 cm/in> 2 cm
height 5 in/6.35> 0.79 in*2.54 cm/in> 2 cm