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The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2, then what will be the volume of the prism?
- a)910 cm3
- b)920 cm3
- c)960 cm3
- d)980 cm3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The height of a square base right prism is 15 cm. If the total surfac...
Let side of square base be ‘a’.
Now, total surface area = Perimeter of square base × Height
+ 2 × Area of square base.
⇒ 608 = 4a × 15 + 2 × a2 ⇒ a2 + 30a –304 = 0 ⇒ a = 8
∴Volume of prism = Area of base × Height
= a2 × 15 = 8 × 8 × 15 = 960 cm3
Most Upvoted Answer
The height of a square base right prism is 15 cm. If the total surfac...
Solution:
Given, height of a square base right prism = 15 cm
Total surface area of the prism = 608 cm²
Let the side of the square base be ‘a’ cm
Then, the total surface area of the prism = 2a² + 4ah cm²
where h is the height of the prism
Given, h = 15 cm, Total surface area = 608 cm²
⇒ 2a² + 4ah = 608
⇒ 2a² + 4a(15) = 608
⇒ 2a² + 60a - 608 = 0
⇒ a² + 30a - 304 = 0
⇒ (a + 38)(a - 8) = 0
⇒ a = 8 cm (since the side of the square base cannot be negative)
Volume of the prism = Base area × Height
= a² × h
= 8² × 15 cm³
= 960 cm³
Therefore, the volume of the prism is 960 cm³.
Hence, the correct option is (c) 960 cm³.
Given, height of a square base right prism = 15 cm
Total surface area of the prism = 608 cm²
Let the side of the square base be ‘a’ cm
Then, the total surface area of the prism = 2a² + 4ah cm²
where h is the height of the prism
Given, h = 15 cm, Total surface area = 608 cm²
⇒ 2a² + 4ah = 608
⇒ 2a² + 4a(15) = 608
⇒ 2a² + 60a - 608 = 0
⇒ a² + 30a - 304 = 0
⇒ (a + 38)(a - 8) = 0
⇒ a = 8 cm (since the side of the square base cannot be negative)
Volume of the prism = Base area × Height
= a² × h
= 8² × 15 cm³
= 960 cm³
Therefore, the volume of the prism is 960 cm³.
Hence, the correct option is (c) 960 cm³.
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The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2, then what will be the volume of the prism?a)910 cm3b)920 cm3c)960 cm3d)980 cm3Correct answer is option 'C'. Can you explain this answer?
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The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2, then what will be the volume of the prism?a)910 cm3b)920 cm3c)960 cm3d)980 cm3Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2, then what will be the volume of the prism?a)910 cm3b)920 cm3c)960 cm3d)980 cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2, then what will be the volume of the prism?a)910 cm3b)920 cm3c)960 cm3d)980 cm3Correct answer is option 'C'. Can you explain this answer?.
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