Mathematics: The surface areas of two similar solids are 1,008^cm and 1,372 cm^ the volume of the larger solid is 1,801cm ^3. find the volume of the smaller solid. round your answer to the nearest hundredth. a. 252.15cm^3 b. 1,134.16cm ^3 c. 1,323.18cm ^3 d. 1,372.19cm ^3

i think its no triangle can be formed if it aint right im sorry 7th grade was a long time agoStep-by-step explanation:...

The surface areas of two similar solids are 1,008^cm

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03.01.2022

Option B. 1134.16 cm³

Step-by-step explanation:

The surface area of two similar solids are 1,008 cm² and 1372 cm²

Since surface area is a two dimensional unit or surface area is the multiplication of two dimensions.

Ratio of the sides of the solids will be

Ratio of sides = $\sqrt{\frac{1372}{1008} }$

$=\sqrt{\frac{4\times 343}{4\times 252}}$

$=\sqrt{\frac{343}{252}}$ $=\sqrt{1.3611}$ = 1.167

Now ratio of volume of the solids will be cube of the sides.

$\frac{\text{Volume of larger solid}}{\text{Volume of smaller solid}}=(\frac{1.167}{1} )^{3}$ = $\frac{1801}{V}$

By cross multiplication

V(1.167)³ = 1801

V = $\frac{1801}{(1.167)^{3}}=\frac{1801}{1.588}$ = 1134.16 cm³

Option B. 1134.16 cm³ is the answer.

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