Question:

1 answer:

4 0

We know that 24 is 160% more than some recommended number, let's call it "x." This means 1.6 times the recommended number equals 24. Therefore, all we need to do is solve for x.

$1.6x=24$

$x=\frac{24}{1.6}$

Make sense?

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If the prisms below are similar what is the ratio of the surface area of the smaller prism to the surface area of the larger pri

Ronch [10]

The ratio between the surfaces areas of the two prisms is equal to 6.25.

<h3>How to get the ratio of the surface areas?</h3>

The ratio between the volumes of the prisms is:

$R_v = \frac{375 in^3}{24 in^3} = 15.625$

This number is equal to the cube of the scale of dilation applied to the dimensions of the smaller prism, so the scale factor is:

$\sqrt[3]{15.625} = 2.5$

And the ratio between the areas should be the square of the scale factor, then we will have that the ratio between the surface areas of the two prisms is:

$2.5^2 = 6.25$