gc65
Answered

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A and B are similar cuboids.
surface area of A: surface area of B = 25 : 36
Work out volume of A: volume of B
A 5:6
B 125 : 216
C 25 : 36
D 625 : 1296​

Sagot :

mhanifa

Answer:

  • B. 125 : 216

Step-by-step explanation:

Surface area of cuboid A with side a is:

  • 6a²

Same for cuboid B with side b:

  • 6b²

Ratio of surface areas:

  • 6a² : 6b² = 25 : 36 ⇒
  • a² : b² = 25 : 36 ⇒
  • a : b = 5 : 6

Volumes of A and B are:

  • a³ and b³

And their ratio is:

  • a³ : b³ = 5³ : 6³  ⇒
  • a³ : b³ = 125 : 216

Correct option is B

ashlynestrada91

Answer:

B. 125 : 216

Step-by-step explanation:

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