Here are two similar solid toys.
A
B
The ratio surface area of toy A : surface area of toy B is 7:9
The volume of toy B is 20 cm
I
Work out the volume of toy A.
Give your answer correct to 3 significant figures.

Answers

Answer 1

Answer:

13.7

Step-by-step explanation:

7*k²=9

k²=9/7

k=√9/7

k=1.133893419

20/1.133893419³=13.7

Answer 2

The volume of toy A will be equal to 13.7 cubic centimetres.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio surface area of toy A: to the surface area of toy B is 7:9. The volume of toy B is 20 cm

The computation of the volume of toy A is shown below:

7 × k²=9

k²= 9 ÷ 7

k=√(9 ÷ 7)

k = 1.133893419

Now

The volume of toy A = 20 ÷ 1.133893419³

The volume of toy A = 13.7 cubic centimetres

Therefore, the volume of toy A will be equal to 13.7 cubic centimetres.

The missing figure is attached with the answer below.

To know more about ratios and proportions follow

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Here Are Two Similar Solid Toys.ABThe Ratio Surface Area Of Toy A : Surface Area Of Toy B Is 7:9The Volume

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[tex] \frac{14}{12} = \frac{AB}{18} \\ [/tex]

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[tex]3 \times 7 = AB[/tex]

[tex]AB = 21[/tex]

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Thus the correct answer is (( C )) .

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It would be C if i’m not mistaken thank you.

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