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 .

4 0

4 years ago

Which of the following is NOT a perfect square trinomial?

DIA [1.3K]

The second one is a perfect square trinomial
X^2+16x+64

7 0

3 years ago

Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pi. (1 point)

V125BC [204]

A= $\pi$ $r^{2}$

A=( $\frac{22}{7}$ )( $21^{2}$ )

A=( $\frac{22}{7}$ )(441)

A= $\frac{22}{7}$ )( $\frac{441}{1}$ )

A= $\frac{9702}{7}$

A=1386 square meters

The answer is B.

5 0

4 years ago

If two supplementary angles are in the ratio of 4:5 the measure of the larger angle is

dimulka [17.4K]

Answer:

Step-by-step explanation:

Let the angles be 4x , 5x

4x + 5x = 180 { supplementary}

9x = 180

x = 180/9

x = 20

Larger angle= 5x = 5* 20 = 100

6 0

3 years ago