Question : 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 cm$^2$. What is the volume (in cm$^3$) of the prism?
Option 1: 540
Option 2: 600
Option 3: 720
Option 4: 640
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 720
Solution : Given: Lateral surface area of prism = 480 cm 2 Lateral surface area of prism = perimeter of base × height Perimeter of triangle = 8 + 15 + 17 = 40 cm Let the height of the prime is $h$ cm ⇒ $40 × h = 480$ ⇒ $h = 12$ cm Since the base, the side and the length are 8, 15, and 17 which are triplets. It means the base is a right-angled triangle Area of triangular base = $\frac{1}{2} × 8 × 15$ = 60 cm 2 So, the volume of the prism = area of base × height = 60 × 12 = 720 cm 3 Hence, the correct answer is 720.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : The base of a prism is a right-angle triangle whose sides are 9 cm, 12 cm, and 15 cm. Volume of this prism is 648 cm3. What will be the height of the prism?
Question : The base of a right prism is a triangle with sides 16 cm, 30 cm, and 34 cm. Its height is 32 cm. The lateral surface area (in cm2 ) and the volume (in cm3 ) are, respectively:
Question : The base of a prism is a right-angled triangle with two sides 5 cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is:
Question : The base of a right prism is an equilateral triangle whose side is 10 cm. If the height of this prism is $10 \sqrt{3}$ cm, then what is the total surface area of the prism?
Question : The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is the total surface area of the prism (in cm2)?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile