Question

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The pattern has three rectangles side by side. The shorter side of the rectangles is 3 c-m, the lengths of rectangles are 4 c-m, 3 c-m, and 5 c-m respectively. The middle rectangle has a right triangle above it and a right triangle below it. The measurements of the right triangle are 3 c-m, 4 c-m, and 5 c-m

What is the surface area of the gift box

Answer 1

This is the net of a triangular prism whose triangular ends are a 3-4-5 right triangle and whose prism height is 3 cm.

Lateral area = (perimeter of triangle) × height = (3+4+5) × 3 = 12 × 3 = 36 cm².
Area of two triangular ends = 2 × (1/2 × 3 × 4) = 2 × 6 = 12 cm².

Total surface area = 36 + 12 = 48 cm².