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ser-zykov [4K]
3 years ago
5

The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu

me of the smaller solid?
272 yd³

170 yd³

928 yd³

754 yd³
Mathematics
1 answer:
ratelena [41]3 years ago
4 0

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

v=1712*0.542^3=272

So for the smaller solid, volume is 272 . And the correct option is the first option .

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           <u>Number of Violations</u>               <u>Number of Drivers</u>

                         0                                              1,910

                          1                                                46

                         2                                                 18

                         3                                                 12

                         4                                                  9

                         5 or more                             <u>       5      </u>

                        <u>Total</u>                                      <u>    2000  </u>

<u />

Now, the data means that 1,910 drivers had 0 speeding violations and so on.

Now, we have to find the probability that a particular driver had exactly two speeding violations, that means;

Number of drivers having exactly two speeding violations = 18

 Total numbers of drivers = 2000

So, the required probability  =  \frac{\text{No. of drivers having two speeding violations}}{\text{Total no. of drivers}}

                                               =  \frac{18}{2000}  =  <u>0.009</u>

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