What is the surface area of the entire prism? You can use the calculator to help you solve.

B
A
C
Face Area
A 20 square units
B 16 square units
C 20 square units
Opposite A 20 square units
Opposite B 16 square units
Opposite C 20 square units
The surface area of
the entire prism is
square units.

1 answer

To find the surface area of the prism, you need to add the areas of all its faces.

The prism has:

  • Face A: 20 square units
  • Face B: 16 square units
  • Face C: 20 square units
  • Opposite Face A: 20 square units
  • Opposite Face B: 16 square units
  • Opposite Face C: 20 square units

Now, let's add these areas together:

\[ \text{Total Surface Area} = \text{Area of Face A} + \text{Area of Face B} + \text{Area of Face C} + \text{Area of Opposite Face A} + \text{Area of Opposite Face B} + \text{Area of Opposite Face C} \]

Substituting in the values:

\[ \text{Total Surface Area} = 20 + 16 + 20 + 20 + 16 + 20 \]

Now, calculating it step by step:

\[ 20 + 16 = 36 \] \[ 36 + 20 = 56 \] \[ 56 + 20 = 76 \] \[ 76 + 16 = 92 \] \[ 92 + 20 = 112 \]

Thus, the surface area of the entire prism is 112 square units.