The measures of the outer dimensions of a closed metal box are given as 15 cm × 18 cm × 8 cm. The thickness of the metal is 1.5 cm. What will be the volume of the metal required to make the box?
Answer & explanation
Correct answer: option 4
We know that,
Volume of the cuboid = length × breadth × height
We have,
External, Length = 15 cm
Breadth = 18 cm
Width = 8 cm
Now according to the question,
Internal, Length = 15 - 3 = 12 cm
Breadth = 18 - 3 = 15 cm
Width = 8 - 3 = 5 cm
External volume of metallic box = 15 × 18 × 8 = 2160 cm3
Internal volume of metallic box = 12 × 15 × 5 = 900
So, Volume of metal = external volume - internal volume = 2160 - 900 = 1260 cm3