This figure is a right triangular prism. The sides of its triangular bases are each 5 cm and the height of the triangular base i
s
approximately 4.3 cm. The length of the prism between the bases is 8 cm.
What is the approximate surface area of this prism?
approximately 4.3 cm. The length of the prism between the bases is 8 cm.
What is the approximate surface area of this prism?
1 answer:
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Answer:
**
**The picture is not accurate for this problem.
Step-by-step explanation:
I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.
Let where
is equal to the first partition of
(reading from left to right) and
is equal to the second partition of
(reading from left to right).
We have the following system to solve:
I will use elimination to first solve for .
Subtract the equations:
Factor both sides using :
Simplify inside the
.
Divide both sides by 9:
Divide both sides by 11:
Simplify both sides:
Add 99 on both sides:
Divide both sides by 2:
Now go to either equation we had in the beginning to find .
with