take 336 in^3 and make it in^2

1 answer

To convert cubic inches (in³) to square inches (in²), you need a dimension of length. This is because cubic inches measure volume, while square inches measure area.

If you need to express 336 in³ as an area in in², you must first decide on a height (or another dimension) for the context of the volume.

For example, if we assume a height of \( h \) inches, you can use the formula for the volume of a rectangular prism:

\[ \text{Volume} = \text{Area} \times \text{Height} \]

From this, we can rearrange the formula to express area:

\[ \text{Area} = \frac{\text{Volume}}{\text{Height}} = \frac{336 \text{ in}^3}{h \text{ in}} \]

So, the area in in² would depend on the height you choose. For instance:

  • If \( h = 1 \) inch, then Area = \( 336 \text{ in}^2 \).
  • If \( h = 2 \) inches, then Area = \( 168 \text{ in}^2 \).
  • If \( h = 4 \) inches, then Area = \( 84 \text{ in}^2 \).

Please specify a height to get a specific area in in².