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Find the height of a regular tetrahedron with surface area of 48√3 cm2.
- a)3√2 cm
- b)3√3 cm
- c)4√2 cm
- d)4√3 cm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Find the height of a regular tetrahedron with surface area of 48&radic...
As we know, a tetrahedron is a triangular pyramid
Let the side of the regular tetrahedron be ‘a’ cm
As, Surface area of regular tetrahedron = √3 × (side)2
⇒ 48√3 = √3 × a2
⇒ a = √48 = 4√3 cm
Let the side of the regular tetrahedron be ‘a’ cm
As, Surface area of regular tetrahedron = √3 × (side)2
⇒ 48√3 = √3 × a2
⇒ a = √48 = 4√3 cm
Now,
⇒ Height of tetrahedron = √(2/3) × side = √(2/3) × 4√3 = 4√2 cm
⇒ Height of tetrahedron = √(2/3) × side = √(2/3) × 4√3 = 4√2 cm
Most Upvoted Answer
Find the height of a regular tetrahedron with surface area of 48&radic...
To find the height of a regular tetrahedron with surface area of 48, we need to use the formula for the surface area of a regular tetrahedron, which is given by:
Surface Area = √3 * s^2
where s is the length of each side of the tetrahedron.
Since the surface area is given as 48, we can set up the equation:
48 = √3 * s^2
To isolate s^2, we divide both sides of the equation by √3:
48 / √3 = s^2
To find the height, we need to know the length of one side of the tetrahedron. However, this information is not given in the problem. Without the length of one side, we cannot find the height of the tetrahedron.
Surface Area = √3 * s^2
where s is the length of each side of the tetrahedron.
Since the surface area is given as 48, we can set up the equation:
48 = √3 * s^2
To isolate s^2, we divide both sides of the equation by √3:
48 / √3 = s^2
To find the height, we need to know the length of one side of the tetrahedron. However, this information is not given in the problem. Without the length of one side, we cannot find the height of the tetrahedron.
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Community Answer
Find the height of a regular tetrahedron with surface area of 48&radic...
As we know, a tetrahedron is a triangular pyramid
Let the side of the regular tetrahedron be ‘a’ cm
As, Surface area of regular tetrahedron = √3 × (side)2
⇒ 48√3 = √3 × a2
⇒ a = √48 = 4√3 cm
Let the side of the regular tetrahedron be ‘a’ cm
As, Surface area of regular tetrahedron = √3 × (side)2
⇒ 48√3 = √3 × a2
⇒ a = √48 = 4√3 cm
Now,
⇒ Height of tetrahedron = √(2/3) × side = √(2/3) × 4√3 = 4√2 cm
⇒ Height of tetrahedron = √(2/3) × side = √(2/3) × 4√3 = 4√2 cm
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Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer?
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Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer?.
Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the height of a regular tetrahedron with surface area of 48√3 cm2.a)3√2 cmb)3√3 cmc)4√2 cmd)4√3 cmCorrect answer is option 'C'. Can you explain this answer?.
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