Answer:
- 484 in²
- 512 in² ≈ 3303.2 cm²
- (b) 287.6 cm²
Step-by-step explanation:
1.
The area is the sum of the areas of the 6 faces. Of course, each face has the same area as the one on the opposite side of the figure. One way to compute it is ...
A = 2(LW +WH +LH)
More about the calculation can be found here: https://brainly.com/question/26727255
A = 484 in²
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2.
The lateral area of the triangular prism is the sum of the areas of its three rectangular faces. For each one, the area is the product of length and width.
A = (10 in)(16 in) +(10 in)(16 in) +(12 in)(16 in)
A = (10 +10 +12)(16) in² = 512 in²
This problem statement asks for the area in square centimeters, so we must convert the units.
(512 in²) × ((2.54 cm)/(1 in))² ≈ 3303.2 cm²
The lateral area of the triangular prism is about 3303.2 square centimeters.
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3.
The lateral surface area of a cylinder is the product of its circumference and its height.
LA = πdh
LA = π(8.4 cm)(10.9 cm) = 91.56π cm² ≈ 287.6 cm²
The lateral surface area is about 287.6 cm².
