A display stand is shaped like a right triangular prism. The triangular base is a right-angled triangle with perpendicular sides measuring 3 cm and 4 cm. The height of the prism is 10 cm. What is the ratio of the area of the largest rectangular face to the area of the smallest rectangular face of the prism?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 5 : 3.
Hypotenuse of the base triangle = √(32 + 42) = √(9 + 16) = √25 = 5 cm
Base right triangle sides: 3 cm, 4 cm, and 5 cm
Rectangular faces: 3 × 10, 4 × 10, 5 × 10
Largest area = 5 × 10 = 50 cm2
Smallest area = 3×10 = 30 cm2
Required ratio = 50 : 30 = 5 : 3