A covered wooden box has the inner measures as 128 cm, 90 cm, 25 cm and the thickness of wood is 5.5 cm. Find the volume of the wood.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 217404 cm3.
The thickness of the wood = 5.5 cm
Outer length = 128 + (2 × 5.5) = 128 + 11 = 139 cm
Outer width = 90 + (2 × 5.5) = 90 + 11 = 101 cm
Outer height = 25 + (2 × 5.5) = 25 + 11 = 36 cm
Outer volume of the wood = Outer length × Outer width × Outer height
= 139 × 101 × 36
= 505404 cm3
Inner volume of the wood = Inner length × Inner width × Inner height
= 128 × 90 × 25
= 288000 cm3
Volume of wood = 505404 - 288000 = 217404 cm3
Therefore, the volume of the wood is 217404 cm3.