Question

A cuboid has total surface area of 40m2 and lateral surface area of 26m2. Find the area of its base.

Answer 1

hope this helps you

Answer 2

Answer:

$\small\red{\boxed{\bold{Area \:of \:base\:=7m^2}}}$

$\tt{Given}\begin{cases}\tt{40 \:square \:meter } \\ \tt{lateral\: surface\: area =26}\end{cases}$

$\huge\underline\textsf{Explantion:- }$

$\small\underline\textsf{formula \:used }$

$\implies\bf t.s.a = 2(lb + bh + lh)$

$\implies\bf l.s.a = 2(l + b)h$

$\rule{300}{2}$

$\implies\bf l.s.a = 2(bh + 2lb)$

$\implies\bf40 = 26 + 2lb$

$\implies\bf40 - 26 = 2lb$

$\implies\bf14 = 2lb$

$\implies\bf \frac{\cancel{14}}{ \cancel2} = lb$

$\implies\bf7m {}^{2}$