We are given two that are .
We want to find the values of h and w. Let's start with the height!
Height
are that have the same shape and corresponding dimensions. This means that the between dimensions is . We can use this information to write a .
Height of the big prism/Height of the small prism
=
Length of the big prism/Length of the small prism
Let's substitute the corresponding dimensions into this equation and solve for h.
Height of the big prism/Height of the small prism=Length of the big prism/Length of the small prism
h/2=10/4
h=5
The height of the big prism is 5 inches.
Width
We can use the same logic to find the missing width.
Width of the big prism/Width of the small prism
=
Length of the big prism/Length of the small prism
Let's substitute the corresponding dimensions into this equation and solve for w.
Width of the big prism/Width of the small prism=Length of the big prism/Length of the small prism
w/1=10/4
w=2.5
The width of the big prism is 2.5 inches.
