Fill in the blanks to complete the formula for the surface area of a triangular prism.
The surface area of a triangular prism is S.A.=Blank+(S1+S2+S3)Blank
The surface area of a triangular prism is S.A.= (perimeter of triangular base) × (height of prism) + (area of two triangular bases)
Fill in the blanks to complete the formula for the surface area of a triangular prism.
The surface area of a triangular prism is S.A.=+(S1+S2+S3)
The surface area of a triangular prism is S.A.= (perimeter of triangular base) × (height of prism) + (area of two triangular bases)
To complete the formula for the surface area of a triangular prism, we need to determine the two missing parts.
The formula for the surface area of a triangular prism involves finding the area of the two triangular bases and the area of the three rectangular faces.
Let's break it down:
1. The first blank represents the formula to calculate the area of one triangular base. The area of a triangle is given by the formula: A = 0.5 * base * height. In the case of a triangular prism, the base of the triangle is the length of one side of the triangle on the base of the prism, and the height is the perpendicular distance from that side to the opposite vertex. So, the first blank can be replaced with 0.5 * base * height.
2. The second blank represents the formula to calculate the sum of the three rectangular faces. Since the rectangular faces are essentially three rectangles, we multiply the length, width, and height of each rectangular face, and then add these values together. Therefore, the second blank can be replaced with (length1 * height1) + (length2 * height2) + (length3 * height3).
By filling in the blanks, the complete formula for the surface area of a triangular prism is:
S.A. = (0.5 * base * height) + (length1 * height1) + (length2 * height2) + (length3 * height3)
Remember to substitute the specific values of base, height, length, and height1, height2, height3 into the formula in order to get the accurate surface area.