what is the surface area of a rectangular prism that is 8mm L, 10mm w, 12 and 15mm height
To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then add them all together.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given the dimensions:
Length (l) = 8mm
Width (w) = 10mm
Height (h) = 12mm and 15mm
For the 12mm height:
Surface Area = 2(8*10) + 2(8*12) + 2(10*12)
Surface Area = 2(80) + 2(96) + 2(120)
Surface Area = 160 + 192 + 240
Surface Area = 592 mm²
For the 15mm height:
Surface Area = 2(8*10) + 2(8*15) + 2(10*15)
Surface Area = 2(80) + 2(120) + 2(150)
Surface Area = 160 + 240 + 300
Surface Area = 700 mm²
Therefore, the surface area of the rectangular prism with dimensions 8mm x 10mm x 12mm and 8mm x 10mm x 15mm is 592 mm² and 700 mm² respectively.