The ratio of corresponding dimensions of two similar solids is 1 half. the surface area of the first solid is 330 m2. its volume is 624 m3. find the surface area and volume of the second solid. round each answer to the nearest tenth, if necessary.

Part 1) The surface area of the second solid is

Part 2) The volume of the second solid is

Step-by-step explanation:

In this problem we have

Part 1)

we know that

The ratio of the surface areas of two similar solids is equal to the scale factor squared

Let

x------> the surface area of the second solid (reduced solid)

y------> the surface area of the first solid (original solid)

z-----> the scale factor

we have

substitute and solve for x

Part 2)

we know that

The ratio of the volumes of two similar solids is equal to the scale factor elevated to the cube

Let

x------> the volume of the second solid (reduced solid)

y------> the volume of the first solid (original solid)

z-----> the scale factor

we have

substitute and solve for x

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step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.