Chapter 3, Problem 1RQ

To determine

The correct match for the given left hand column and the right hand column.

Explanation of Solution

The rectangular representation of the cuboid is as shown in below figure.

Figure-(1)

The $dl$ length of the side $AB$ is given by $dy{a}_y$.

The $dl$ length of the side $AD$ is given by $dz{a}_z$.

The $dl$ length of the side $AE$ is given by $dx{a}_x$.

The $dS$ surface area of the face $ABCD$ is given by $dydz{a}_x$.

The $dS$ surface area of the face $AEHD$ is given by $-dxdz{a}_y$.

The $dS$ surface area of the face $DCGH$ is given by $-dxdy{a}_z$.

The $dS$ surface area of the face $ABFE$ is given by $dxdy{a}_z$.

The correct match for the left hand column and right hand column is as listed in below table:

(a) $dl$ from $A$ to $B$	(vi) $dy{a}_y$
(b) $dl$ from $A$ to $D$	(vii) $dz{a}_z$
(c) $dl$ from $A$ to $E$	(v) $dx{a}_x$
(d) $dS$ for the face $ABCD$	(i) $dydz{a}_x$
(e) $dS$ for the face $AEHD$	(ii) $-dxdz{a}_y$
(f) $dS$ for the face $DCGH$	(iv) $-dxdy{a}_z$
(g) $dS$ for the face $ABFE$	(iii) $dxdy{a}_z$