Question

surface area cubes, prisms & pyramids 1
find the surface areas of these shapes.
1)
surface area
2)
surface area

Explanation:

Step1: Analyze the first shape (rectangular prism net)

The formula for the surface area of a rectangular prism is \(SA = 2(lw+lh + wh)\). From the net, assume \(l = 8\mathrm{cm}\), \(w = 5\mathrm{cm}\), \(h = 4\mathrm{cm}\).

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LATEXBLOCK0
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Step2: Calculate the surface area of the first shape

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LATEXBLOCK1
$$

Step3: Analyze the second shape (cube net)

A cube has 6 faces. If the side - length \(a = 14\mathrm{in}\), the area of one face is \(A=a^2\).

$$A = 14\times14=196\mathrm{in}^2$$

Step4: Calculate the surface area of the second shape

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LATEXBLOCK2
$$

Answer:

1. The surface area is \(184\mathrm{cm}^2\).
2. The surface area is \(1176\mathrm{in}^2\).