Answer:
1,687.5 square millimeters
Explanation:
There are six faces of a cuboid:
1. Top and bottom face: length x width
- Top face area = Length x Width = 15mm x 7.5mm = 112.5 square mm
- Bottom face area = Top face area = 112.5 square mm
2. Front and back face: height x width
- Front face area = Height x Width = 45mm x 7.5mm = 337.5 square mm
- Back face area = Front face area = 337.5 square mm
3. Left and right face: height x length
- Left face area = Height x Length = 45mm x 15mm = 675 square mm
- Right face area = Left face area = 675 square mm
Therefore, the total surface area of the cuboid is the sum of all six faces:
Total Surface Area = 2(Top face area + Front face area + Left face area)
= 2(112.5 square mm + 337.5 square mm + 675 square mm)
= 2(1125 square mm)
= 2250 square mm
Therefore, the surface area of the given cuboid is 2250 square mm.