Question

A box made of sheet metal costs rs1620 at rs 30 per square mere. it the box is 5 m long and 3 m wide ,find its height​

Answer 1

Answer:

hey mate your answer

Step-by-step explanation:

We know that 

Area of steel metal = Total cost / Cost per m2

By substituting values

Area of sheet metal =1206480

So we get

Area of sheet metal =54 m2

So we get

Area of sheet metal =2(1b+bh+h1)

54=2(5×3+3×h+h×5)

On further calculation 

27=15+3h+5h

So we get

8h=12

By division

h=1.5m

Therefore, the height of sheet metal is 1.5m

hope it helps you

Answer 2

$\red{\mathfrak{Given}} \begin{cases} \pink{ \rm\bullet Cost \: of \: metal \: sheet \: is\: rs1620 \: at \: rs30/{m}^{2}} \\ \purple{\rm \bullet length = 5m,breadth = 3m}\end{cases}$

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$\red{\mathfrak{Find}} \begin{cases} \\ \orange{\rm \bullet height \: of \: the \: box} \\ \\ \end{cases}$

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$\red{\mathfrak{Solution}}$

Here,

Rs. 30 is the cost of 1m² of Box

Hence, Rs. 1620 is the cost of = $\bold{\dfrac{1620}{30}}$ = 54m²

So, the total surface area of the box is 54m²

we, know that

$\boxed{\rm Total \: surface \: area = 2(lb + bh + hl)}$

where,

• Length, l = 5m
• Breadth, b = 3m
• Total surface Area = 54m²

So,

$\dashrightarrow \pink{\rm Total \: surface \: area = 2(lb + bh + hl)}$

$\dashrightarrow \pink{\rm 54 = 2 \bigg((5)(3) + (3)h + h(5) \bigg)}$

$\dashrightarrow \pink{\rm 54 = 2 \bigg(15 + 3h + 5h \bigg)}$

$\dashrightarrow \pink{\rm 54 = 2 \bigg(15 + 8h \bigg)}$

$\dashrightarrow \pink{\rm 54 = 30 + 16h}$

$\dashrightarrow \pink{\rm 54 - 30 =16h}$

$\dashrightarrow \pink{\rm 24 =16h}$

$\dashrightarrow \pink{\rm h = \dfrac{24}{16} = 1.5m }$

$\dashrightarrow \pink{\rm h = 1.5m }$

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Hence, Height of the box will be 1.5m

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