A triangular prism has a height of 1.5 inches and right triangular bases with a height of 1.5 inches, length of 5 inches, and a hypotenuse measuring 5.22 inches.
What is the prism's surface area?
(1 point)
• 24.75 in.?
O 25.41 in.?
• 30.33 in.?
• 25.08 in.?
To find the surface area of a triangular prism, we first find the area of each triangular base and multiply it by 2 since there are two identical bases. Then, we find the area of the three rectangular sides and add them up.
Area of triangular base = 0.5 * base * height
Area of triangular base = 0.5 * 5 * 1.5
Area of triangular base = 3.75 sq. inches
Surface area of bases = 2 * 3.75
Surface area of bases = 7.5 sq. inches
Now, let's find the area of the three rectangular sides:
1. The area of the side with base as the hypotenuse = base * height
Area = 5.22 * 1.5
Area = 7.83 sq. inches
2. The area of the side with base as 5 inches = 5 * 1.5
Area = 7.5 sq. inches
3. The area of the side with height as 1.5 inches = 1.5 * 1.5
Area = 2.25 sq. inches
Now, add the areas of the three rectangular sides:
Surface area of rectangular sides = 7.83 + 7.5 + 2.25
Surface area of rectangular sides = 17.58 sq. inches
Total surface area = Surface area of bases + Surface area of rectangular sides
Total surface area = 7.5 + 17.58
Total surface area = 25.08 sq. inches
Therefore, the correct answer is 25.08 inches.