What is the surface area of the rectangular prism?

Question

First, find the area of the long rectangle.
Net of rectangular prism with side lengths labeled. The long rectangle along the edges of the bases is highlighted within the net. The length of the longer rectangle is made up of the side lengths 2 units, 6 units, 2 units and 6 units. The width of the long rectangle is 4 units.
The area of the long rectangle is
square units.

Answer 1

To find the area of the long rectangle of the rectangular prism, we can follow these steps:

1. Identify the dimensions of the long rectangle:

   • The length of the longer rectangle is the sum of the lengths of two opposite sides of the bases. Since the side lengths given are 2 units and 6 units, the total length of the long rectangle would be: \[ \text{Length} = 2 + 6 + 2 + 6 = 16 \text{ units}. \]

2. Identify the width of the long rectangle:

   • The width of the long rectangle is given as 4 units.

3. Calculate the area of the long rectangle:

   • The area \(A\) of a rectangle is calculated using the formula: \[ A = \text{length} \times \text{width}. \]
   • Substituting the values into the formula: \[ A = 16 \text{ units} \times 4 \text{ units} = 64 \text{ square units}. \]

Therefore, the area of the long rectangle is 64 square units.