39. A cupboard made up of wood has the inner measures
as 120 cm, 70 cm and 45 cm. If the thickness of the
wood is 2.5 cm, then find the volume of the wood.
A. 90750 cm
B. 82125 cm
C.47000 cm
D. 85000 cm
Answers
If the thickness of the wood is 2.5 cm, then the volume of the wood is option (A): 90750 cm³.
Step-by-step explanation:
Step 1: Inner volume of the cupboard
Inner length = 120 cm
Inner breadth = 70 cm
Inner height = 45 cm
∴ The inner volume of the cupboard = length*breadth*height = 120 * 70 * 45 = 378000 cm³
Step 2: Outer volume of the cupboard
The thickness of the wood = 2.5 cm
Outer length = 120 + (2*2.5) = 120 + 5 = 125 cm
Outer breadth = 70 + (2*2.5) = 70 + 5 = 75 cm
Outer height = 45 + (2*2.5) = 45 + 5 = 50 cm
∴ The outer volume of the cupboard = length*breadth*height = 125 * 75 * 50 = 486750 cm³
Step 3: Volume of the wood
Thus,
The volume of the wood is given by,
= [The outer volume of the cupboard] – [The inner volume of the cupboard]
= 486750 cm³ - 378000 cm³
= 90750 cm³
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Answer:
Option : A is the correct answer.
Step-by-step explanation:
refer to the attachment...
