SOLUTION: The cuboid shown below is made of solid gold. w=20 l=40 H= 25 The gold will be melted down to make solid right triangular gold wedges as shown below. What is the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The cuboid shown below is made of solid gold. w=20 l=40 H= 25 The gold will be melted down to make solid right triangular gold wedges as shown below. What is the      Log On


   

Question 1131087: The cuboid shown below is made of
solid gold.
w=20
l=40
H= 25

The gold will be melted down to make
solid right triangular gold wedges as
shown below.

What is the maximum number of gold
wedges that can be made from the
cuboid?
(You can assume there will be no
wastage in the process of making the
wedges).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The cuboid shown below is made of
solid gold.
w=20cm
l=40cm
H=+25cm
V=20%2A25%2A40
V=20000cm%5E3
The gold will be melted down to make solid right triangular gold wedges as
shown below.
I managed to find missing information:
a=0.03m=3cm
b=0.04m=4cm
c=0.05m=5cm
H=0.10m=10cm
V%5B1%5D=base%2AH
your base is a triangle with all three sides different length
for calculating the area of a base when you know the lengths of all three sides use Heron’s formula
the area of a base=sqrt%28+p%28p-a%29+%28p-b%29+%28p-c%29+%29 where p is half the perimeter, or %28a%2Bb%2Bc+%29%2F2
find p=+%28a%2Bb%2Bc+%29%2F2
p=+%283%2B4%2B5+%29%2F2
+p=+6
base=sqrt%28+6%286-3%29+%286-4%29+%286-5%29+%29
base=sqrt%28+6%283%29+%282%29+%281%29+%29
base=sqrt%28+36+%29
base=6cm%5E2

V%5B1%5D=6%2A10
V%5B1%5D=60cm%5E3
What is the maximum number of gold wedges that can be made from the
cuboid?

V%2FV%5B1%5D=20000cm%5E3%2F60cm%5E3
V%2FV%5B1%5D=2000%2F6
V%2FV%5B1%5D=333.3333333333333
=>the maximum number of gold wedges that can be made from the
cuboid is 333