Math, asked by divyapathania25, 4 days ago

3 A cuboidal wooden block contains 36 cm wood. If it be 4 cm long and 5 cm wide, find its height.​

Answers

Answered by StarFighter
3

Answer:

Given :-

  • A cuboidal wooden block contains 36 cm³ wood. If it be 4 cm long and 5 cm wide.

To Find :-

  • What is the height of a cuboidal wooden block.

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_{(Cuboid)} =\: h\: cm\\

Given :

  • Volume = 36 cm
  • Length = 4 cm
  • Breadth = 5 cm

According to the question by using the formula we get,

\footnotesize \implies \sf\bold{\purple{Volume_{(Cuboid)} =\: Length \times Breadth \times Height}}\\

\implies \sf 36 =\: 4 \times 5 \times h

\implies \sf 36 =\: 20 \times h

\implies \sf \dfrac{36}{20} =\: h

\implies \sf 1.8 =\: h

\implies \sf\bold{\red{h =\: 1.8\: cm}}\\

\therefore The height of a cuboidal wooden block is 1.8 cm .

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