Answer:
The surface area of the green prism is 2.5 times greater than the surface area of the blue prism
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The surface area of a prism is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base
P is the perimeter of the base
h is the height or length of the prism
step 1
Find the surface area of the green prism
we have that
[tex]B=\frac{1}{2}(5)(12)=30\ m^2[/tex]
[tex]P=(5+12+13)=30\ m[/tex]
[tex]h=3\ m[/tex]
substitute
[tex]SA=2(30)+30(3)=150\ m^2[/tex]
step 2
Find the surface area of the blue prism
we have that
[tex]B=\frac{1}{2}(3)(4)=6\ m^2[/tex]
[tex]P=(5+3+4)=12\ m[/tex]
[tex]h=4\ m[/tex]
substitute
[tex]SA=2(6)+12(4)=60\ m^2[/tex]
step 3
Divide the surface area of the green prism by the surface area of the blue prism
150/60=2.5
therefore
The surface area of the green prism is 2.5 times greater than the surface area of the blue prism
