Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas?

A) 2:5

B) 4:25

C) 4:10

D) 8:125

H 1 : H 2 = 4 : 10

H 1 = 2/5 H 2

and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2

A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1

A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2

A 1 / A 2 = 4/25 * (2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2) /

/ (2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2) =

= 4/5

A 1 : A 2 = 4 : 25

Answer: B) 4 : 25

4:25 is the correct answer