Zez3helraKellet Zez3helraKellet
  • 19-11-2016
  • Mathematics
contestada

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

Respuesta :

syed514
syed514 syed514
  • 20-11-2016
4:25 is the correct answer
Answer Link
HomertheGenius
HomertheGenius HomertheGenius
  • 21-11-2016
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
Answer Link

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