Question

follow the steps to find the surface area of the rectangular prism. what is the area of the top and bottom? top and bottom: ? front and back: ? sides: ? total sa: ? 6 cm 8 cm 12 cm

Explanation:

Step1: Identify dimensions of top/bottom

The top and bottom faces of a rectangular prism are rectangles with length \( l = 12 \, \text{cm} \) and width \( w = 8 \, \text{cm} \). The area of one such face is \( A = l \times w \).
\( A_{\text{one face}} = 12 \times 8 = 96 \, \text{cm}^2 \)

Step2: Calculate area of top and bottom

Since there are two faces (top and bottom), we multiply the area of one face by 2.
\( A_{\text{top and bottom}} = 2 \times 96 = 192 \, \text{cm}^2 \)

Answer:

\( 192 \, \text{cm}^2 \)