.Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)
The surface area of a triangular prism is S.A.=
+(S1+S2+S3)
+ (base perimeter + lateral surface area)
Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)
The surface area of a triangular prism is S.A.=
+(S1+S2+S3)
S.A. = A1 + A2 + A3 + (S1 + S2 + S3)
tell me te right one now
The surface area of a triangular prism is S.A. = (Area of base) + (Perimeter of base) x (Height of prism) + 2 x (Area of base)
so what the answer
The correct formula for the surface area of a triangular prism is:
S.A. = (Area of base) + (Perimeter of base) x (Height of prism) + 2 x (Area of base)
Use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
What is the surface area of the triangular prism?
(1 point)
To find the surface area of the triangular prism, we need to calculate the area of the two triangular faces and the area of the three rectangular faces.
1. Area of the front triangular face:
Given the legs of the triangle are 3 cm and 4 cm, and the hypotenuse is 5 cm (which is also the width of the rectangular face), we can use the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 5 cm * 4 cm
Area = 10 square centimeters
2. Area of the back triangular face:
Since the front and back triangles are congruent in a prism, the area is the same:
Area = 10 square centimeters
3. Area of the left rectangular face:
The area of a rectangle is length x width:
Area = 11 cm x 4 cm
Area = 44 square centimeters
4. Area of the right rectangular face (given):
The area of the right rectangular face is 5 cm x 11 cm = 55 square centimeters.
5. Area of the bottom rectangular face:
We can determine the base perimeter of the triangle to be 3 cm + 4 cm + 5 cm = 12 cm. Then, to find the area of the rectangle, we can multiply the base perimeter by the width of the rectangle, which is 5 cm:
Area = 12 cm x 5 cm
Area = 60 square centimeters
Summing up all these areas, we have:
Total Surface Area = (10 + 10 + 44 + 55 + 60) square centimeters
Total Surface Area = 179 square centimeters
Therefore, the surface area of the triangular prism is 179 square centimeters.