Question

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

Answer 1

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, $V_2=8\time V_1$