Answer:
The surface area of the prism is 373.2 unit².
Step-by-step explanation:
Consider the provided diagram.
It is given that w=15, l=6 and h=4.6
The figure has 6 rectangle.
The surface are of prism can be calculated by adding the area of all 6 rectangles.
There are 2 green, 2 violet and 2 blue rectangle.
First find the area of green rectangle:
The area of green rectangle is = w×h
The area of green rectangle is = 15×4.6 = 69 unit²
There are 2 green rectangle: 2×69 unit² = 138 unit²
Find the area of violet rectangle:
The area of violet rectangle is = h×l
The area of violet rectangle is = 4.6×6 = 27.6 unit²
There are 2 violet rectangle: 2×27.6 unit² = 55.2 unit²
The area of blue rectangle:
The area of blue rectangle is = w×l
The area of blue rectangle is = 15×6 = 90 unit²
There are 2 blue rectangle: 2×90 unit² = 180 unit²
The surface area of the prism is the sum of all rectangle's area:
138 unit² + 55.2 unit²+ 180 unit² = 373.2 unit²
Hence, the surface area of the prism is 373.2 unit².
