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26. The shoebox has a length of 30 cm, a width of 10 cm, and a height of 8 cm. Determine how many square centimeters of gift-wrapping paper are needed to wrap the shoebox. A. 1230 cm2 B.1240 cm2 C. 1250 cm2 D. 1260 cm2

Sagot :

DubuChewyidn

QUESTION

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The shoebox has a length of 30 cm, a width of 10 cm, and a height of 8 cm. Determine how many square centimeters of gift-wrapping paper are needed to wrap the shoebox

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[tex]\text{Top and Bottom:} & \quad 2 \times (30 \, \text{cm} \times 10 \, \text{cm}) = 2 \times 300 \, \text{cm}^2 = 600 \, \text{cm}^2 \\ \text{Front and Back:} & \quad 2 \times (8 \, \text{cm} \times 10 \, \text{cm}) = 2 \times 80 \, \text{cm}^2 = 160 \, \text{cm}^2 \\ \text{Sides:} & \quad 2 \times (8 \, \text{cm} \times 30 \, \text{cm}) = 2 \times 240 \, \text{cm}^2 = 480 \, \text{cm}^2 \\ \text{Total Surface Area:} & \quad 600 \, \text{cm}^2 + 160 \, \text{cm}^2 + 480 \, \text{cm}^2 = 1240 \, \text{cm}^2 [/tex]

[tex]\text{Total surface area} = 2(300 \, \text{cm}^2) + 2(80 \, \text{cm}^2) + 2(240 \, \text{cm}^2) = 1240 \, \text{cm}^2[/tex]

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Therefore, you need Option B. 1240 square centimeters of gift-wrapping paper to wrap the shoebox.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf{07/17/24}[/tex]

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