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Earlier discussion
2 older comments kept for context.
Victor Titus
The total surface area of a rectangular prism (like a cupboard) is given by the formula:
\[2(lw + wh + hl)\]
where \(l\), \(w\), and \(h\) are the length, width, and height of the prism, respectively.
Substituting the given dimensions into the formula, we get:
\[2(12 \times 10 + 10 \times 8 + 8 \times 12) = 2(120 + 80 + 96) = 2 \times 296 = 592 \, \text{cm}^2\]
Therefore, the total surface area of the cupboard is 592 cm². The correct answer is:
Option B: 592cm²
Oluwaseun Adeyemi
Total surfaced area of a cupboard = lb + lh + bh
l = length h = height b = base
l = 12cm h = 10cm b = 8cm
T.S.A \(= (12 \times 8 \times 12 \times 10 + 8 \times 10)cm^\\
= (96 + 120 + 80)cm^2 = 296cm^2\)