A rhombic prism has base diagonals of 6 cm and 8 cm, and height of 10 cm. What is its total surface area?
Options
A
248 cm²
B
296 cm²
C
320 cm²
D
344 cm²
Answer & Analysis
Answer
A
Analysis
Question Analysis:
This question requires calculating the total surface area of a rhombic prism. The main focus is on correctly determining both the base area and lateral area components.
Key Concept Explanation:
For a rhombic prism:
Base area = ½ × d₁ × d₂ (where d = diagonal)
Lateral area = Perimeter of base × Height
Perimeter of rhombus = 4 × side length (find using Pythagorean theorem)