Answer:
The correct answer is A. 144 inches².
Correct statement is attached:
Determine the surface area of the figure if the height of the triangular face is 6 inches. The triangles are equilateral.
A. 144 inches²
B. 133 inches²
C. 150 inches²
D. 160 inches²
Explanation:
1. Let's review the information provided to us to answer the question correctly:
Height of the triangular face = 6 inches
Length of the long side of the triangular prism = 10 inches
Length of the short side of the triangular prism = 4 inches
The triangles are equilateral
2. Determine the surface area of the figure if the height of the triangular face is 6 inches. The triangles are equilateral.
For calculating the answer, we need to know what is the surface of the five faces of the triangular prism.
We have three rectangular faces and two triangular faces.
Surface area of the rectangular faces = Length * Height
Surface area of the rectangular faces = 10 * 4 = 40 inches²
Surface area of the triangular faces = (Length * Height)/2
Surface area of the triangular faces = 6 * 4/2 = 12 inches²
Now the total surface area of the five sides is:
3 * Surface area of the rectangular face + 2 * Surface area of the triangular face
3 * 40 + 2 * 12 = 120 + 24 = 144 inches ²
The total surface area of the five faces is A. 144 inches ²