SOLUTION: the areas of two similar tetrahedrons are 24 square inches and 96 square inches. find the ratio of their volumes
Algebra.Com
Question 938257: the areas of two similar tetrahedrons are 24 square inches and 96 square inches. find the ratio of their volumes
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
This method works only for regular tetrahedra. Not enough info is given to calculate for irregular tetrahedra.
The formula for surface area of a regular tetrahedron is
In this case we have:
solving for a:
a=3.72 (approx.)
and
a=7.44 (approx.)
The volume for a regular tetrahedron is
V(1) = = 6.07
V(2) = = 48.53
The ratio of volumes =V(1)/V(2) =6.07/48.53= 0.125 = 1:8
Note the ratio of edge length=1:2 or
the ratio of surface area=1:4 or
the ratio of volumes=1:8 or
RELATED QUESTIONS
The areas of two similar tetrahedrons are 24 sq. in. and 96 sq. in. Find the ratio of... (answered by Theo)
The areas of two similar tetrahedrons are 24 sq in and 96 sq in. Find the ratio of their... (answered by Alan3354)
Good day! Can you help me solve this question?
The areas of two similar tetrahedrons... (answered by CubeyThePenguin)
what is the ratio of corresponding sides of two similar triangles whos areas are 36... (answered by josgarithmetic,MathTherapy)
The sum of the volumes of two spheres is 105 pi cubic inches. Their areas have the ratio... (answered by Alan3354)
Two cones are similar, the ratio of their surface areas is 4 : 1
What is the ratio of... (answered by richard1234)
The ratio of the volumes of two similar hexagonal prisms is 343:1331. What is the ratio... (answered by greenestamps)
Ratio of surface areas of two cubes is 1:4. find the ratio of their... (answered by stanbon)
The radii of two similar cones are in the ratio 5:3.Find the ratio of their... (answered by josgarithmetic)