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A right rectangular prism has a length of 15 millimeters, width of 3 millimeters, and height of 4 millimeters.
What is the surface area of the prism?
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WHATEVER! I already did it myself! And since im actually nice and want to help unlike THE PEOPLE WHO SAW THIS AND STILL DIDNT HELP! the answer is 234mm. 2 (LW+WH+LH) Multiply 117 and 2
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A=2(wl+hl+hw)=2·(3·15+4·15+4·3)=234
To find the surface area of a right rectangular prism, we need to find the area of each face and then add them together.
1. The top and bottom faces of the prism are both rectangles with dimensions of 15 mm by 3 mm. To find the area of one face, multiply the length by the width: 15 mm * 3 mm = 45 mm^2. Since there are two of these faces, the combined area of the top and bottom faces is 45 mm^2 * 2 = 90 mm^2.
2. The front and back faces of the prism are also rectangles, with dimensions of 15 mm by 4 mm. Again, we find the area of one face by multiplying the length by the width: 15 mm * 4 mm = 60 mm^2. Since there are two of these faces, the combined area of the front and back faces is 60 mm^2 * 2 = 120 mm^2.
3. The left and right faces of the prism are rectangles with dimensions of 3 mm by 4 mm. The area of one face is found by multiplying the length by the width: 3 mm * 4 mm = 12 mm^2. Since there are two of these faces, the combined area of the left and right faces is 12 mm^2 * 2 = 24 mm^2.
4. To find the surface area, we add up the areas of all six faces: 90 mm^2 + 120 mm^2 + 24 mm^2 = 234 mm^2.
Therefore, the surface area of the prism is 234 square millimeters.