3m² × 4m × 2
Understand the Problem
The question involves a mathematical expression related to multiplying dimensions in square meters. It requires multiplying the given values to find a result in terms of area or total quantity.
Answer
$24m^3$
Answer for screen readers
The final result is $24m^3$.
Steps to Solve
- Identify the expressions to multiply
We have three values: $3m^2$, $4m$, and $2$.
- Multiply the numeric coefficients
First, multiply the numeric coefficients: $$ 3 \times 4 \times 2 $$ Calculating this gives: $$ 3 \times 4 = 12 $$ Then, $$ 12 \times 2 = 24 $$
- Combine the units
Next, combine the units: $$ m^2 \times m = m^{2+1} = m^3 $$
- Write the final expression
Combine the numeric result with the units: $$ 24m^3 $$
The final result is $24m^3$.
More Information
This result represents a quantity in cubic meters, which signifies volume. When multiplying area ($m^2$) by length ($m$), the outcome yields a three-dimensional measurement.
Tips
Sometimes, students forget to add the exponents when multiplying like units, which can lead to incorrect results. Always ensure to combine units properly by adding their powers.
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