To find the total surface area of the triangular pyramid, we need to find the area of the base triangle and the area of the three triangular faces.
Area of the base triangle = 0.5 * base * height = 0.5 * 15in * 13in = 97.5 sq in
Area of one triangular face = 0.5 * base * height = 0.5 * 15in * 18in = 135 sq in
Total area of three triangular faces = 3 * 135 sq in = 405 sq in
Therefore, the total surface area of the triangular pyramid = 97.5 sq in + 405 sq in = 502.5 sq in
Since fabric is needed for both sides of the triangular faces, the total amount of fabric needed = 2 * 502.5 sq in = 1005 sq in
Therefore, 1005 square inches of fabric is needed to make the wet floor sign.
Wet floor sign warning sign is in the shape of a triangular pyramid without a base. Edge length of base equilateral triangle is 15in, height of the base triangle is 13in, and height of triangular faces is 18in. How much fabric is needed to make the sign given the base does not need fabric
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1 answer