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A rectangular prism has a length of 12 centimeters, width of 18 centimeters, and a height of 22 centimeters. Describe the effect on the volume of a rectangular prism when each dimension is doubled

User Edwoollard
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To proof

Given: Length =12cm, width= 18cm, height = 22cm

volume of the rectangular prism (say V1) = length × breadth × height


= 12×18×22cm³

=4752 cm³

when dimensions are doubled

New length = 24 cm, New breadth =36 cm, New height =44 cm

volume of the rectangular prism (V2)= 24×36×44 cm³


= 38016 cm³


= 8(4752)cm³


This shows when the dimension doubled the volume of rectangular prism be 8 times the volume of the first one.

Therefore,
V_2=8\time V_1

User ShirazITCo
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