Question

The length, breadth and height of a match box are 8cm, 6cm, 4cm respectively. Find L.S.A and T.S.A.
plz say fast...​

Answer 1

Answer:

T. S. A. = 2 (lb+bh+hl)

= 2 (8×6+6×4 +4×8)

=2 (48+24+32)

=2 (104)

=208

Answer 2

$\sf\large\underline{Given:}$

• $\tt{Match\:box\:_{(length)}=8cm}$
• $\tt{Match\:box\:_{(breadth)}=6cm}$
• $\tt{Match\:box\:_{(height)}=4cm}$

$\sf\large\underline{To\: Find:}$

• $\tt{Match\:box\:_{(T.S.A\:and\:L.S.A)}=?}$

$\sf\large\underline{Solution:}$

• Simply applying formula here to calculate TSA and LSA here, TSA stand for Total surface area and LSA stand for lateral surface area]

$\tt{\implies Match\:box\:_{(T.S.A)}=2(lh+bh+lb)}$

$\tt{\implies Match\:box\:_{(T.S.A)}=2(8\times\:4+6\times\:4+8\times\:6)}$

$\tt{\implies Match\:box\:_{(T.S.A)}=2(32+24+48)}$

$\tt{\implies Match\:box\:_{(T.S.A)}=2\times\:104}$

$\tt{\implies Match\:box\:_{(T.S.A)}=208cm^2}$

$\tt{\implies Match\:box\:_{(L.S.A)}=2(l+b)\times\:h}$

$\tt{\implies Match\:box\:_{(L.S.A)}=2(8+6)\times\:4}$

$\tt{\implies Match\:box\:_{(L.S.A)}=2\times\:14\times\:4}$

$\tt{\implies Match\:box\:_{(L.S.A)}=112cm^2}$

$\sf\large{Hence,}$

$\tt\purple{\implies Match\:box\:_{(T.S.A)}=208cm^2}$

$\tt\red{\implies Match\:box\:_{(L.S.A)}=112cm^2}$