Answer:
The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Step-by-step explanation:
The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:
2(base area)+2(back area)+2(side area)
=2((base area)+(back area)+(side area))
Area of blue prism = 2((base area)+(back area)+(side area))
=2((4*2)+(4*10)+(2*10))
=2(8+40+20)
=2(68)
=136 cm²
Area of green prism = 2((base area)+(back area)+(side area))
=2((10*5)+(25*10)+(25*5))
=2(50+250+125)
=2(425)
=850 cm²
850cm² is 6.25 times greater than 136cm² <em>(850/136=6.25)</em>, so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
