Question

using the net below, find the surface area of the rectangular prism.
sa = ? cm²

Explanation:

Step1: Identify the faces

The net of the rectangular prism has two types of faces: rectangles with dimensions \(3 \, \text{cm} \times 8 \, \text{cm}\) and squares with dimensions \(3 \, \text{cm} \times 3 \, \text{cm}\). There are 4 rectangular faces and 2 square faces.

Step2: Calculate area of rectangular faces

Area of one rectangular face: \(3 \times 8 = 24 \, \text{cm}^2\)
Total area of 4 rectangular faces: \(4 \times 24 = 96 \, \text{cm}^2\)

Step3: Calculate area of square faces

Area of one square face: \(3 \times 3 = 9 \, \text{cm}^2\)
Total area of 2 square faces: \(2 \times 9 = 18 \, \text{cm}^2\)

Step4: Sum the areas

Surface area \(SA = 96 + 18 = 114 \, \text{cm}^2\)

Answer:

\(114\)