I need help on this problem. I've been stuck on it for 4 days now.
Use a net to find the surface area of the prism.
2,296 m2
1,148 m2
757 m2
1,232 m2
the numbers are 25m, 7m, 19m, 7m, 24m
I've tried 24x25x7 25x7x5 24x7x5 19x5x25 19x7x24 and other combinations, but I get none of the answers above. I end up being behind a couple hundreds or going over a couple hundreds and I'm stressing out.
To find the surface area of a prism, you need to calculate the areas of all the faces and then sum them up. In this case, the prism has five faces: two rectangular bases and three rectangular lateral faces.
To begin, let's calculate the area of the rectangular base. The dimensions are given as 25m and 7m, so the area of one base is:
Area of base = length x width = 25m x 7m = 175m²
Since there are two bases, we multiply this result by 2 to get the total area of the bases:
Total area of the bases = 2 x 175m² = 350m²
Next, let's calculate the area of the three lateral faces. Two of the dimensions are given as 24m and 7m, and the other dimension is given as 25m. To find the area of each face, we multiply the two shorter sides together:
Area of each lateral face = length x width = 24m x 7m = 168m²
Since there are three lateral faces, we multiply this result by 3 to get the total area of the lateral faces:
Total area of the lateral faces = 3 x 168m² = 504m²
Finally, to find the total surface area, we add the areas of the bases and the lateral faces together:
Total surface area = Total area of the bases + Total area of the lateral faces
= 350m² + 504m²
= 854m²
Therefore, the correct answer for the surface area of the prism is 854 m².
those numbers are all volumes. You need to find pairs of numbers. The sum of their products is the area.
Better yet, study the net to see which vertices of the prism are represented; then use what you know about prisms to get the area.