Select the correct option for the given isometric projection of combination of solids.
(i) The axis of pyramid is parallel to H.P. and one of its base edges is perpendicular to H.P.
(ii) A sphere of diameter 70 mm is placed on the top face of a prism.
(iii) The axis of pyramid is parallel to V.P. and one of its base edges is perpendicular to V.P.
(iv) The axis of prism is perpendicular to V.P. and one of its base edges is parallel to H.P.
Identify the correct figure which represents the isometric projection of a vertical square prism placed on a horizontal square slab.


Standard electrode potential for \( \text{Sn}^{4+}/\text{Sn}^{2+} \) couple is +0.15 V and that for the \( \text{Cr}^{3+}/\text{Cr} \) couple is -0.74 V. The two couples in their standard states are connected to make a cell. The cell potential will be:
To calculate the cell potential (\( E^\circ_{\text{cell}} \)), we use the standard electrode potentials of the given redox couples.
Given data:
\( E^\circ_{\text{Sn}^{4+}/\text{Sn}^{2+}} = +0.15V \)
\( E^\circ_{\text{Cr}^{3+}/\text{Cr}} = -0.74V \)
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find a relation between \( x \) and \( y \) such that the surface area \( S \) is minimum.
