Question

Volume of a wooden cuboid is 480 cubic cm It's length and breadth are 10 cm &6cm respectively find its height

Answer 1

Given :

• Volume of Cuboid is 480 cm³ .
• Length and Breadth are 10 cm and 6 cm respectively .

To Find :

• Height of Cuboid .

Solution :

$\longmapsto\tt{Length\:(l)=10\:cm}$

$\longmapsto\tt{Breadth\:(b)=6\:cm}$

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cuboid=l\times{b}\times{h}}$

Putting Values :

$\longmapsto\tt{480=10\times{6}\times{h}}$

$\longmapsto\tt{480=60\:h}$

$\longmapsto\tt{\cancel\dfrac{480}{60}=h}$

$\longmapsto\tt\bf{8\:cm=h}$

So , Height of the Cuboid is 8 cm .

Answer 2

Answer:

Given :-

• The volume of a wooden cuboid is 480 cm³.
• It's length and breadth are 10 cm & 6 cm respectively.

To Find :-

• What is the height of a wooden cuboid.

Formula Used :-

$\clubsuit$ Volume Of Cuboid Formula :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Cuboid)} =\: Length \times Breadth \times Height}}}\: \: \: \bigstar$

Solution :-

Let,

$\mapsto \bf Height_{(Wooden\: Cuboid)} =\: x\: cm$

Given :

• Volume = 480 cm³
• Length = 10 cm
• Height = 6 cm

According to the question by using the formula we get,

$\footnotesize \implies \bf Volume_{(Cuboid)} =\: Length \times Breadth \times Height$

$\implies \sf 480 =\: 10 \times 6 \times x$

$\implies \sf 480 =\: 60 \times x$

$\implies \sf 480 =\: 60x$

$\implies \sf \dfrac{48\cancel{0}}{6\cancel{0}} =\: x$

$\implies \sf \dfrac{\cancel{48}}{\cancel{6}} =\: x$

$\implies \sf \dfrac{8}{1} =\: x$

$\implies \sf 8 =\: x$

$\implies \sf\bold{\purple{x =\: 8}}$

Hence, the required height of a wooden cuboid is :

$\dashrightarrow \sf Height_{(Wooden\: Cuboid)} =\: x\: cm$

$\dashrightarrow \sf\bold{\red{Height_{(Wooden\: Cuboid)} =\: 8\: cm}}$

$\therefore$ The height of a wooden cuboid is 8 cm .

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EXTRA INFORMATION :-

❒ Lateral Surface Area or L.S.A of Cuboid Formula :

$\small \bigstar \: \: \sf\boxed{\bold{\purple{L.S.A_{(Cuboid)} =\: 2h(l + b)}}}\: \: \: \bigstar$

where,

• L.S.A = Lateral Surface Area
• l = Length
• h = Height
• b = Breadth

❒ Total Surface Area or T.S.A of Cuboid Formula :

$\small \bigstar \: \: \sf\boxed{\bold{\red{T.S.A_{(Cuboid)} =\: 2(lb + bh + hl)}}}\: \: \: \bigstar$

where,

• T.S.A = Total Surface Area
• l = Length
• b = Breadth
• h = Height

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