The outer dimensions of a closed wooden box
are 20 cmn by 16 cm by 14 cm. Thickness of
wood is 2 cm. The total cost of wood required to
make box, if 1 cm³ of wood cost Rs. 3 is equal
Answers
Step-by-step explanation:
length =20 cm
breadth 16cm
height 14 cm
volume = 20×16×7=2240
total cost = 2240×3= 6720
Given : The outer dimensions of a closed wooden box are 20 cm by 16 cm by 14 cm.
Thickness of wood is 2 cm.
1 cm³ of wood cost Rs. 3
To Find : The total cost of wood
Solution:
Volume of wood required = Outer volume - Inner Volume
Volume of cuboid = length * breadth * height
outer dimensions 20 cm by 16 cm by 14 cm.
Outer Volume = 20 * 16 * 14 = 4480 cm³
Thickness of wood is 2 cm.
Inner dimensions = (20 - 2 - 2) cm by (16 -2 - 2) cm by (14 -2 - 2) cm.
=16 cm by 12 cm by 10 cm
Inner Volume = 16 * 12 * 10 = 1920 cm³
Volume of wood = 4480 - 1920 = 2560 cm³
1 cm³ of wood cost Rs. 3
=> 2560 cm³ of wood cost Rs. 3 * 2560 = 7680 Rs
The total cost of wood required = Rs 7680
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