Question
Download Solution PDFThe 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The base of a right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm
The lateral surface area of right prism 480 cm2
Formula Used:
Lateral surface area of prism = perimeter of base × height
Volume of prism = Area of base × height
Calculation:
Since base side length is 8, 15, 17 [which is a triplet]
It means the base is a right angled triangle
Perimeter of triangle = 8 + 15 + 17 = 40 cm
Let the height of the prime is h cm
So, 40 × h = 480
⇒ h = 12 cm
Now, Area of base = (1/2) × 8 × 15 = 60 cm2
Volume of prism = area × height
∴ Volume of prism = 60 × 12 = 720 cm3.
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