The surface area of a rectangular prism is 2210 cm^2 Then the other dimension is 70.3 cm
Given that surface area of rectangular prism is 2210 square centimeter
Also given that two of dimensions are 5 cm and 10 cm
To find: other dimension
The total surface area of the rectangular prism is gievn as:
[tex]\text {Total surface area }=2(lb+b h+h l)[/tex]
Where, "l" is the length and "b" is the breadth and "h" is the height
The given values are: l = 5cm and b = 10cm
On substituting the given values in formula we get,
[tex]\begin{array}{l}{2210=2(l \times b+b \times h+h \times l)} \\\\ {2210=2(5 \times 10+10 \times h+h \times 5)} \\\\ {2210=2(50+10 h+5 h)} \\\\ {1105=50+15 h} \\\\ {1055=15 h} \\\\ {h=70.3}\end{array}[/tex]
Thus the other dimension is 70.3 cm
