Question

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

Explanation:

Step1: Identify dimensions for front/back

The front and back faces of a rectangular prism are rectangles with height \( 8 \, \text{cm} \) and width \( 2 \, \text{cm} \) (from the diagram: length \( 2 \, \text{cm} \), height \( 8 \, \text{cm} \)).

Step2: Calculate area of one face

Area of a rectangle is \( \text{length} \times \text{height} \), so one front (or back) face area is \( 2 \times 8 = 16 \, \text{cm}^2 \).

Step3: Calculate area of front and back

Since there are two faces (front and back), multiply by 2: \( 2 \times 16 = 32 \, \text{cm}^2 \).

Answer:

The area of the front and back is \( \boldsymbol{32 \, \text{cm}^2} \).