The base of a right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm, and its lateral surface area is 480 cm2. What is the volume (in cm3) of the prism?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 720.
(8 - 15 - 17) are pythagorean triplet.
The perimeter of the triangle = 8 + 15 + 17 = 40
Let the height of the prism be 'h'.
40 × h = 480.
h = 12 cm.
Area of base = 1/2 × 8 × 15 = 60 cm2.
Volume of prism = Area of base × height
V = 60 × 40 = 2400 cm3.