Question

can anyone please answer for this question ​

Answer 1

Answer:

Given:

• TSA of cuboid = 126 sqm
• Length = 6m
• Breadth = 5m

Find:

• Height of cuboid?

Solution:

${ \boxed{ \sf{TSA \: of \: cuboid = 2(lw + wh + hl) }}}$

$: { \implies{ \sf{2(5 \times 6 + 5 \times h + h \times 6) = 126sqm}}} \\ \\ : { \implies{ \sf{2(30 + 5h + 6h) = 126sqm}}} \\ \\ : { \implies{ \sf{2(30 + 11h) = 126}}} \\ \\ : { \implies{ \sf{60 + 22h = 126}}} \\ \\ : { \implies{ \sf{22h = 126 - 60}}} \\ \\ : { \implies{ \sf{22h = 66}}} \\ \\ : { \implies{ \sf{h = \frac{66}{22} }}} \\ \\ : { \implies{ \sf{h = 3}}}$

${ \therefore{ \sf{ \pink{Height \: of \: cuboid = 3m}}}}$

Answer 2

$\huge\mathfrak\green{☟ \: \: \: \: \: answer \: \: \: \: \: ✎}$

$Let \: the \: height \: of \: a \: Cuboid \: is \: h \: m$

$Given \: the \: length \: of \: Cuboid \: is \: 6m$

$The \: breath \: of \: a \: Cuboid \: is \: 5m$

Total Surface area a Cuboid is

$126 \: {m}^{2}$

$⇒2(5 \times 6 + 5 \times h + 6 \times h)$

$= 126$

$⇒30 + 11h = 63$

$⇒11h = 33$

$⇒h = \frac{33}{11}$

$= 3$

$So \: the \: height \: of \: a \: Cuboid \: is \: 3 \: m$

$\\ \\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$

$and \: \sf \colorbox{lightgreen} {\red❤️ANSWER ᵇʸ ᶠˡⁱʳᵗʸ ᵇᵒʸ}$