Basic Math Examples

$32 {cm}^{2} = n ({2.54}^{3})$

Step 1

Rewrite the equation as $n ({2.54}^{3}) = 32 {cm}^{2}$ .

$n ({2.54}^{3}) = 32 {cm}^{2}$

Step 2

Divide each term in $n ({2.54}^{3}) = 32 {cm}^{2}$ by ${2.54}^{3}$ and simplify.

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Step 2.1

Divide each term in $n ({2.54}^{3}) = 32 {cm}^{2}$ by ${2.54}^{3}$ .

$\frac{n \cdot {2.54}^{3}}{{2.54}^{3}} = \frac{32 {cm}^{2}}{{2.54}^{3}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of ${2.54}^{3}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{n \cdot {2.54}^{3}}{{2.54}^{3}} = \frac{32 {cm}^{2}}{{2.54}^{3}}$

Step 2.2.1.2

Divide $n$ by $1$ .

$n = \frac{32 {cm}^{2}}{{2.54}^{3}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise $2.54$ to the power of $3$ .

$n = \frac{32 {cm}^{2}}{16.387064}$

Step 2.3.2

Multiply by $1$ .

$n = \frac{1 (32 {cm}^{2})}{16.387064}$

Step 2.3.3

Factor $16.387064$ out of $16.387064$ .

$n = \frac{1 (32 {cm}^{2})}{16.387064 (1)}$

Step 2.3.4

Separate fractions.

$n = \frac{1}{16.387064} \cdot \frac{32 {cm}^{2}}{1}$

Step 2.3.5

Divide $1$ by $16.387064$ .

$n = 0.06102374 \frac{32 {cm}^{2}}{1}$

Step 2.3.6

Divide $32 {cm}^{2}$ by $1$ .

$n = 0.06102374 (32 {cm}^{2})$

Step 3

Multiply $32$ by $0.06102374$ .

$n = 1.95275981 {cm}^{2}$