The volumes of two similar solids are 53 cm^3 and 1113 cm^3, which is the ratio of the corresponding sides?
a) 21
b) 3√21
c) √21
d) 7

The ratio of its corresponding sides is

Step-by-step explanation:

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor. And the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z ----> the scale factor

x ----> the volume of the larger solid

y ----> the volume of the smaller solid

so

we have

substitute

therefore

The ratio of its corresponding sides is

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

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step-by-step explanation:

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