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Math

Math Snap

PROBLEM

Find the volume-to-surface area ratio for volume 30cm330 \, \text{cm}^3 and surface area 62cm262 \, \text{cm}^2 as a reduced fraction.

STEP 1

Assumptions1. The volume of the object is 30cm330 \, \text{cm}^3
. The total surface area of the object is 62 \, \text{cm}^

STEP 2

The ratio of the volume to the surface area is given by the formulaRatio=VolumeSurface Area\text{Ratio} = \frac{\text{Volume}}{\text{Surface Area}}

STEP 3

Now, plug in the given values for the volume and surface area to calculate the ratio.
Ratio=30cm362cm2\text{Ratio} = \frac{30 \, \text{cm}^3}{62 \, \text{cm}^2}

SOLUTION

implify the fraction to get the ratio in its simplest form.
Ratio=1531\text{Ratio} = \frac{15}{31}The ratio of the volume to the surface area is 15311531.

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