Answer:
LA = 96
SA = 108
Step-by-step explanation:
The lateral surface area is the area of the sides (not including the bases). For a triangular prism, the bases are the triangles.
The sides consist of three rectangles. The vertical rectangle is 3 by 8 units. The horizontal rectangle is 4 by 8 units.
The slanted rectangle has a length of 8 units, but we don't know the width. To find that, we use Pythagorean theorem to find the hypotenuse of the triangles.
c² = a² + b²
c² = 3² + 4²
c = 5
So the lateral surface area is:
LA = (3)(8) + (4)(8) + (5)(8)
LA = 96
The total surface area is the lateral surface area plus the area of the bases.
SA = 96 + ½(3)(4) + ½(3)(4)
SA = 108
There are 18 that are divisible by 5. 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95
now find which of those are divisible by 3 (divide the numbers by three and if its a whole number that works for example 30 divided by 3 is 10 so thats one)
