Multiple choice

A metallic sheet is of rectangular shape with dimensions $48 \times 36 m$. Form each of its corners, a square is cut off so as to make an open box. The volume the box is $x$ cu. m, when the length of the square is $8 m$. The value of $x$ is

  1. $5120$
  2. $8960$
  3. $4830$
  4. $6400$
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A Correct answer
Explanation

Original sheet 48x36. Cut 8m squares from corners. New dimensions: 48-16=32, 36-16=20. Height=8. Volume = 32 * 20 * 8 = 5120.

AI explanation

The open box's new dimensions are found by subtracting twice the cut-out square's length from the original sheet's length and width, resulting in a base of 48 - 16 = 32 m and 36 - 16 = 20 m. The height of the box equals the side of the cut square, which is 8 m. Applying the volume formula for a rectangular solid gives 32 * 20 * 8 = 5120 cubic m.

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