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Determine the minimum possible height of the whole structure.

Source: MTRP 2016 Class 11-Short Answer Type Question: Problem 2 :-

May 31, 2020
geometry

Problem Statement

5 blocks of volume 1 cm3^3, 1 cm3^3, 1 cm3^3, 1 cm3^3 and 4 cm3^3 are placed one above another to form a structure as shown in the figure. Suppose sum of surface areas of upper face of each is 48 cm2^2 . Determine the minimum possible height of the whole structure.