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Zinaida [17]
3 years ago
12

Three solid shapes, A, B and C are similar.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

A:C = 9:20

Step-by-step explanation:

The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,

(A/B )² = 9/16

square root both sides

A/B = √9/√16

A/B = 3/4

A:B = 3:4

The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,

(B/C)³ = 27/125

cube root both sides

B/C = 3/5

B:C = 3:5

To make the ratio equivalent

A:B:C = 9:12:20

A:C = 9:20

 

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Step-by-step explanation:

let's start with the easiest one

1.(c)

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that is the simplest possible form, as 29 is a prime number and not a factor of 50.

1.(a)

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and we find

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1.(b)

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