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

Studdy Solution

STEP 1

Assumptions1. The volume of the object is $30 \, \text{cm}^3$ . 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 formula $\text{Ratio} = \frac{\text{Volume}}{\text{Surface Area}}$

STEP 3

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

STEP 4

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

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