9514 1404 393
Answer:
- 102 cm²
- 232 in²
- 40.46 ft²
- 480 mm²
Explanation:
The first three cuboid prisms all use the same area formula:
A = 2(LW +H(L+W))
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1. A = 2(3·3 +7(3+3)) = 2(9 +42) = 102 . . . cm²
2. A = 2(2·8 +10(2 +8)) = 2(16 +100) = 232 . . . in²
3. A = 2(4.9·3 +0.7(4.9 +3)) = 2(14.7 +5.53) = 40.46 . . . ft²
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4. The area of this prism is the total of the area of the two triangular bases and the areas of the rectangular faces. For triangle legs a, b and hypotenuse c, and prism depth d, the area formula can be written as ...
A = ab +d(a+b+c)
A = (8 mm)(15 mm) +(9 mm)(8 mm + 15 mm + 17 mm)
A = (120 +9(40)) mm² = 480 mm²