Solution:

Part (a): What is the area of face B?

Face B is a right triangle with:

• Base = 14 mm
• Height = 8 mm

The formula for the area of a triangle is:
$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ Substituting the given values: $\text{Area of face B} = \frac{1}{2} \times 14 \times 8 = \frac{1}{2} \times 112 = 56 \text{ mm}^2$

Part (b): Which other face has the same area as face B?

From the net of the prism, face D is another triangular face that is congruent to face B. Since face D has the same dimensions (base = 14 mm, height = 8 mm), its area is also: $\text{Area of face D} = 56 \text{ mm}^2$ Thus, face D has the same area as face B.

Would you like further clarification on the explanation?

Related Questions:

1. How do you find the total surface area of a triangular prism?
2. How can you determine the volume of the prism using the given dimensions?
3. What is the perimeter of face B?
4. If the length of the prism is 20 mm, what is its lateral surface area?
5. What is the relationship between the areas of triangular and rectangular faces of the prism?

Tip:

Always remember that a prism’s net includes congruent triangular faces at both ends and rectangular lateral faces.