Now, add the area of the 2 bases, and the area of the long rectangle to find the surface area of the prism. You can use the calculator to help you solve.

Question

Rectangular prism with the base measuring 3 units by 5 units and the height of the prism measuring 4 units.
Area of one base = 15 square units
Area of the long rectangle = 64 square units
Surface area of the prism =
square units

Answer 1

To find the surface area of a rectangular prism, you can follow these steps:

1. Calculate the area of the two bases:
   Area of one base = 15 square units
   Since there are two bases:
   Area of both bases = \(2 \times 15 = 30\) square units

2. Add the area of the long rectangle:
   Area of the long rectangle = 64 square units

3. Calculate the surface area of the prism:
   Surface area = Area of both bases + Area of the long rectangles
   Since the rectangular prism has 4 long rectangles (two lengths and two widths), the total area from rectangles is:
   Area of long rectangles = \(2 \cdot (length \times height) + 2 \cdot (width \times height)\)
   = \(2 \cdot (5 \times 4) + 2 \cdot (3 \times 4) = 40 + 24 = 64\) square units

4. Adding these areas together:
   Surface area = Area of both bases + Area of the long rectangles
   Surface area = \(30 + 64 = 94\) square units

Therefore, the surface area of the prism is 94 square units.