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Scilla [17]
3 years ago
7

The surface areas of two similar solids are 384 yd squared and 1057 yd squared The volume of the larger solid is 1795. What is t

he volume of the smaller solid?
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0
This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]

=1795/185.3772
=9.683 
The answer is 9.683 yd^3

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