1. A plate on square base made of brass is of length $$x\ cm$$ and width 1 mm. The plate weight 4725 gm. If 1 cubic cm of brass weighs 8.4 gram, then the value of x is:
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By: anil on 05 May 2019 03.02 pm
Thickness of brass plate = 1 mm = 0.1 cm As the plate is in square shape, so the length and breath are same.
=> Length = Breadth = $$x$$ cm Volume = $$(x imes x imes0.1)=frac{x^2}{10}$$ $$cm^3$$ Given that 1 cu cm of brass has weight = 8.4 g Thus, total weight = $$8.4 imesfrac{x^2}{10}=0.84x^2$$ gram
According to ques, => $$0.84x^2=4725$$ => $$x^2=frac{4725}{0.84}=5625$$ => $$x=sqrt{5625}=75$$ cm => Ans - (D)
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=> Length = Breadth = $$x$$ cm Volume = $$(x imes x imes0.1)=frac{x^2}{10}$$ $$cm^3$$ Given that 1 cu cm of brass has weight = 8.4 g Thus, total weight = $$8.4 imesfrac{x^2}{10}=0.84x^2$$ gram
According to ques, => $$0.84x^2=4725$$ => $$x^2=frac{4725}{0.84}=5625$$ => $$x=sqrt{5625}=75$$ cm => Ans - (D)