4 cm
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To find the missing dimension of the rectangular prism, we can use the formula for surface area.
Assume the missing dimension is the height.
The surface area of a rectangular prism is:
- S = 2lw + 2lh + 2wh, where l is length, w is width, and h is height
The dimensions given are 5 cm and 6 cm and the total surface area is 148 cm², so we substitute values:
- 2*5*6 + 2*5*h + 2*6*h = 148
Simplify as follows and solve for h:
- 60 + 10h + 12h = 148
- 22h = 88
- h = 4 cm
Therefore, the missing dimension is 4 cm.