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M06_Unit 6_Area & Volume DUA (DUE:2.24.26) — 14 Questions
Stuckey, Larry
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Question 2.
Talulah drew the net shown on a piece of cardboard. She plans to cut it out to make an odd-shaped gift box.
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?
28 cm2
48 cm2
56 cm2
42 cm2
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48 cm²
Work:
- Rectangle areas: 3×4 =12, 3×3 =9, 3×5 =15 → total = 36 cm²
- Each right triangle area = 1/2·3·4 = 6 cm², two triangles → 12 cm²
- Total surface area = 36 + 12 = 48 cm²
Work:
- Rectangle areas: 3×4 =12, 3×3 =9, 3×5 =15 → total = 36 cm²
- Each right triangle area = 1/2·3·4 = 6 cm², two triangles → 12 cm²
- Total surface area = 36 + 12 = 48 cm²
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