Question

From a rectangular cardboard of $30\times{20} cm$ squares of $5\times{5} cm$ are cut from all four corners and the edges are folded to form a cuboid open at top. Find the volume of the cuboid.

• A. 1200 cu. cm
• B. 1500 cu. cm
• C. 800 cu. cm
• D. 1000 cu. cm

Answer 1

Answer:

D. 1000 cu. cm

  Length of cardboard = 30 cm

We have to cut the cardboard from both the corners. On removing 5 cm from both the sides, we get the length of the cuboid.

⇒ Length of cuboid $=30-2\times{5}=20 cm$

Same for width,

⇒ Width of cuboid $=20-2\times{5} = 10 cm$

⇒ Height of cuboid = 5 cm.(Height of the cube is equal to the removed part)

∴ Volume of cuboid = $20\times{10}\times{5}$= 1000 cu. cm