Multiple choice

The perimeter of a prism of triangular base is 15 cm and incircle radius is of 3 cm made at its base. If volume of prism is 270 cm3 then find the height of the prism. एक त्रिभुजाकार आधार वाले प्रिज्म का परिमाप 15 सेमी है और उस त्रिभुजाकार आधार के अंतः वृत्त की त्रिज्या 3 सेमी है । यदि प्रिज्म का आयतन 270 सेमी.3 हो तो प्रिज्म की ऊँचाई ज्ञात कीजिये ।

  1. 14 cm/सेमी

  2. 12 cm/सेमी

  3. 13 cm/सेमी

  4. 7 cm/सेमी

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For triangle with perimeter 15 cm and incircle radius 3 cm: semi-perimeter s = 7.5 cm. Area = r × s = 3 × 7.5 = 22.5 cm². Volume of prism = Base Area × height, so 270 = 22.5 × h, giving h = 12 cm. Option B is correct.