a closed box is made up of wood which is 1 cm thick the inner dimensions of the box are 5cm,4cm,7cm.find the volume of the wood used a-4 cm,b-7 cm c-5 cm d-
1cm
Answers
Answer:
Volume of wood used = 238 cm³
Step-by-step explanation:
Internal dimension of box = 5 * 4 * 7 cm³
Thickness = 1 cm
External dimension of box = 5 + 1 +1 , 4 + 1 + 1 , 7 +1 + 1 = 7 * 6 * 9 cm³
External volume = 7 * 6 * 9 = 378 cm³
Internal Volume = 5 * 4 * 7 = 140 cm³
Volume of wood used = 378 - 140 = 238 cm³
Answer:
100 cm³
Step-by-step explanation:
Inner dimensions of the wood box:
Length = 7 cm
Breadth = 5 cm
Height = 4 cm
⇒ Inner Volume of the box = Length x breadth x Height
= 7 cm x 5 cm x 4 cm
= 140 cm³
Thickness = 1 cm on each side.
Outer Dimensions:
Length = 7 cm + 1 cm + 1 cm = 9 cm
Breadth = 5 cm + 1 cm + 1 cm = 7 cm
Height = 4 cm + 1 cm + 1 cm = 6 cm
⇒Outer volume of the box = Length x breadth x height
= 9 cm x 7 cm x 6 cm
= 378 cm³
Thus, Volume of the wood used = outer volume - inner volume
= 378 - 140 cm³
= 238 cm³