Asked by Ryan
A rectangular solid has a top face with surface area of 28 ft, a front face with surface area of 20 ft, and a side face with surface area of 70 ft. What is the volume of this solid?
Answers
Answered by
MathMate
There are two ways to approach the problem:
1. Calculate the side lengths, a,b and c.
ab=28....(1)
ac=20....(2)
bc=70....(3)
Therefore by dividing ac by bc, we get
a/b=2/7
substitute a=2b/7 into equation (1) gives 2b/7*b=28 => b²=98 => 7√2
You can calculate similarly the other sides.
2.
You are looking for the product abc, from which ab=28
So
abc=ab*bc*√((a/b)/ab)
All the products are known, the quotient has been calculated in part 1.
So the volume abc can be calculated directly.
1. Calculate the side lengths, a,b and c.
ab=28....(1)
ac=20....(2)
bc=70....(3)
Therefore by dividing ac by bc, we get
a/b=2/7
substitute a=2b/7 into equation (1) gives 2b/7*b=28 => b²=98 => 7√2
You can calculate similarly the other sides.
2.
You are looking for the product abc, from which ab=28
So
abc=ab*bc*√((a/b)/ab)
All the products are known, the quotient has been calculated in part 1.
So the volume abc can be calculated directly.
Answered by
Ryan
umm still lost.....
Answered by
MathMate
Did you try method 1 or method 2?
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