Question

the volume of the prism is 2,688 cubic units. what is the value of the missing side? 8 units 10 units 12 units x

Explanation:

Step1: Find base triangle area

The base is a right triangle with legs 8 and 12. Area formula: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area} = \frac{1}{2} \times 8 \times 12 = 48$ square units

Step2: Use prism volume formula

Prism volume: $V = \text{Base Area} \times \text{Length } x$
Substitute known values: $2688 = 48 \times x$

Step3: Solve for $x$

Rearrange to isolate $x$: $x = \frac{2688}{48}$

Answer:

$x = 56$ units