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WhiteWinterRose
06.10.2019 •
Mathematics
An open square-based container is made by cutting 4 cm square pieces out of a piece of tinplate if the volume of the container is 120cm^3 find the size of the original piece of tinplate
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Ответ:
Measure of thesides of the tinplate after cutting two 4 cm square pieces out of each side: [x - 8]*[x - 8] (this is the base of the container)
Volume of the container =: area of the base * height
area of the base = [x - 8]^2
height = 4 cm
Volume of the container 4*[x - 8]^2 = 120 cm^3
Divide both sides by 4: [x - 8]^2 = 30 cm^2
Extract square root from both sides: [x - 8] = √(30 cm^2)
[x - 8] ≈ 5.5 cm
x ≈ 5.5cm + 8 cm ≈ 13.5 cm
the side of the original tinplate square was approximately 13.3 cm
Ответ:
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