Question

Asked Jan 5, 2020

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A rectangle piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner , and the sides are turned up to make a box is 616 cm^{3. }find the original dimensions of the card board.

Step 1

Consider *x* be the width of the rectangle. So, 2*x* is the length of the rectangle.

Corner cut: A 4 cm square

Volume of the final box is 616 cm^{3}.

Step 2

Now removing 4 cm squares will reduced the length 2*x* and width each by 8 units.

So, the finial length is (2*x* – 8) cm and finial width is (*x* – 8) cm

Also, the height of the box is 4 cm

Therefore, the volume of the box is given by

Step 3

Substituting the volume = 616 an...

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