Question

follow the steps to find the surface area of the rectangular prism. what is the total surface area? top and bottom: 24 cm² front and back: 32 cm² sides: 96 cm² total sa: ? (with images of rectangular prisms labeled 2 cm, 6 cm, 8 cm)

Explanation:

Step1: Identify areas to sum

We need to sum the areas of top/bottom, front/back, and sides.
Areas: \(24\space cm^2\) (top/bottom), \(32\space cm^2\) (front/back), \(96\space cm^2\) (sides)

Step2: Calculate total surface area

Add the three areas together: \(24 + 32 + 96\)

Step3: Perform the addition

\(24 + 32 = 56\), then \(56 + 96 = 152\)

Answer:

The total surface area of the rectangular prism is \(152\space cm^2\).