Multiple choice

From a $\displaystyle 25cm\times 35cm$, rectangular cardboard, an open box is to be made by cutting out identical squares of area $\displaystyle 25{ cm }^{ 2 }$ from each corner and turning up the sides.The volume of the box is :

  1. $\displaystyle 3000{ cm }^{ 3 }$
  2. $\displaystyle 1875{ cm }^{ 3 }$
  3. $\displaystyle 21875{ cm }^{ 3 }$
  4. $\displaystyle 1250{ cm }^{ 3 }$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cardboard 25x35. Squares of area 25 (side 5) cut from corners. New dimensions: (25-10) = 15, (35-10) = 25. Height = 5. Volume = 15 * 25 * 5 = 1875.

AI explanation

An identical square of 25 sq cm cut from each corner has a side length of 5 cm, meaning the height of the folded box is 5 cm. The new length and width of the base become 35 minus 10, which is 30 cm, and 25 minus 10, which is 15 cm. Using the volume of a cuboid formula, the volume is 30 multiplied by 15 multiplied by 5, resulting in 1875 cu cm.

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