Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

follow the steps to find the surface area of the rectangular prism. wha…

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: (with a rectangular prism diagram labeled 2 cm, 6 cm, 8 cm)

Explanation:

Step1: Identify dimensions of top/bottom

The top and bottom faces of a rectangular prism are rectangles with length \( l = 6\) cm and width \( w = 2\) cm. The area of one rectangle is \( A = l\times w\). For two faces (top and bottom), we multiply by 2.

$$ \text{Area of one top/bottom} = 6\times2 = 12 \text{ cm}^2 $$
$$ \text{Area of top and bottom} = 2\times12 = 24 \text{ cm}^2 $$

Answer:

\(24\) square centimeters