Question

follow the steps to find the surface area of the rectangular prism.
what is the total surface area?
top and bottom: 192 cm²
front and back: 144 cm²
sides: 96 cm²
total sa: ?
(image shows a red rectangular prism diagram and a green rectangular prism with dimensions 6 cm, 8 cm, 12 cm)

Explanation:

Step1: Identify areas to sum

We need to sum the areas of top/bottom, front/back, and sides.
Areas: \(192\ \text{cm}^2\) (top/bottom), \(144\ \text{cm}^2\) (front/back), \(96\ \text{cm}^2\) (sides).

Step2: Sum the areas

Total surface area \(= 192 + 144 + 96\).
Calculate: \(192 + 144 = 336\), then \(336 + 96 = 432\).

Answer:

\(432\ \text{cm}^2\)