Discussion
The total surface area of a cuboid is 194 m2. If its length is 8 m and breadth is 6 m, then what is its volume (in m2) ?
Answer: C
The volume is 168 cubic metres (the stem prints the unit as m2).
Total surface area of a cuboid is \(2(lb + bh + hl)\). With l = 8 and b = 6:
\[ \begin{aligned} 2(48 + 6h + 8h) &= 194 \\ 48 + 14h &= 97 \\ h &= 3.5\ \text{m} \end{aligned} \]
\[ V = l \times b \times h = 8 \times 6 \times 3.5 = 168 \]
A volume is measured in cubic units, so the answer is 168 m3. 112, 126 and 224 correspond to heights of about 2.33, 2.6 and 4.67 m, none of which gives a surface area of 194 m2.
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