1. Tardigrade
  2. Question
  3. Mathematics
  4. The perimeter of the base of a right prism, whose base is an equilateral triangle, is 24 cm. If its total surface area is (288+32 √3) cm 2, then its height is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The perimeter of the base of a right prism, whose base is an equilateral triangle, is $24 cm$. If its total surface area is $(288+32 \sqrt{3}) cm ^2$, then its height is

Mensuration

Solution:

(i) $LSA =288\, cm ^2$.
(ii) Take perimeter of the base as $3 a$ units and find a side
(iii) LSA of prism is half the product of base, perimeter and slant height.
(iv) $TSA = LSA +2$ (Area of the base).
(v) Equate the given value to the above formula and find $h$.