Answer:
608 ft²
Step-by-step explanation:
<u>1) Find the area of the bases</u>
where b is the base length and h is the height
Plug in b and h

Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
<u>2) Find the area of the two sides facing up</u>
where l is the length and w is the width
Plug in l and w

Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
<u>3) Find the area of the bottom side</u>
where l is the length and w is the width
Plug in l and w

Therefore, the area of this side is 192 ft².
<u>4) Add all the areas together</u>
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer: i know this is way late, but it’s 48
Step-by-step explanation:
Since point A is the separation of BE, both sides of the separation are equivalent, the are congruent. Since AB=24, you add 24+24 to get 48.
(I also just answered this question on homework and got it right, this is just how I did it.)
The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.
The side length of this triangle is 2/√3 times the altitude, so the area is
... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)
... Area = 48√3 in² ≈ 83.1384 in²