Question

# From a 25 cm×35 cm rectangular cardboard, an open box is to be made by cutting out identical square of area 25 cm2, one from each corner and turning up the sides. The volume of the box is:

A

3000 cm3

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B

1875 cm3

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C

2175 cm3

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D

1250 cm3

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Solution

## The correct option is A 1875 cm3 Dimensions of the cardboard: 25 cm×35 cm Area of the square that is cut out of the corner =25 cm2 ⇒ Side of the square =√25=5 cm The cardboard with the square cut-outs is shown in the figure: Length of box =35−(5+5)=35−10=25 cm Breadth of box =25−(5+5)=25−10=15 cm Height of box =5 cm Volume of box =Length×Breadth×Height=25×15×5 =1875 cm3

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