Question

calcular el área de superficie de este prisma rectangular. incluir las unidades correctas en la respuesta. 3 m 8 m 3 m

Explanation:

Step1: Calculate the area of the top and bottom faces

The top and bottom faces are squares with side length \(3\) m. The area of one square is \(A_{square}=3\times3 = 9\) \(m^{2}\). Since there are 2 such faces, the total area of the top and bottom faces is \(2\times9=18\) \(m^{2}\).

Step2: Calculate the area of the lateral faces

The lateral faces are rectangles. There are 4 lateral faces. Each lateral face has dimensions \(3\) m (width) and \(8\) m (height). The area of one lateral - face rectangle is \(A_{rectangle}=3\times8 = 24\) \(m^{2}\). Since there are 4 such lateral faces, the total area of the lateral faces is \(4\times24 = 96\) \(m^{2}\).

Step3: Calculate the total surface area

The total surface area \(A\) of the rectangular prism is the sum of the area of the top and bottom faces and the lateral faces. So \(A=18 + 96=114\) \(m^{2}\).

Answer:

\(114\space m^{2}\)