Question

a cuboidal block of icecream 12cm long 8cm broad and 6cm high.how many cuboidal pieces measuring 2 cm long 2cm broad and 3cm high can be cut from the block​

Answer 1

Before, finding the answer. Let's find out on how we can find the answer.

• First, we must find the volume of Cuboidal block by the formula of

$\boxed{\green \star \sf \: Volume \: of \: Cuboid = l \times b \times h}$

• Then, we must find the volume of Cuboid piece by the same formula of  

$\boxed{\green \star \sf \: Volume \: of \: Cuboid = l \times b \times h}$

• Now, we must divide volume of cuboidal block by the volume of cuboid piece :

$\sf \dfrac{volume\: of\: cuboidal\: block}{volume \: of\: cuboidal\: piece}$

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Given :

• Dimensions of Cuboidal Block = 12 cm, 8 cm, 6 cm.
• Dimensions of Cuboidal Block = 2 cm, 2 cm, 3 cm

To find :

• how many can be cut from the block​

Solution :

$\sf Volume \: of \: Cuboid \: Bock ={ l \times b \times h}$

                                   = 12 × 8 × 6 cm³

                                   =  576 cm³

Hence, the Volume of Cuboid Block is 576 cm³.

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Volume of Cuboid Piece = l × b × h

                                         = 2 × 2 × 3 cm³

                                         = 12 cm³

Hence,  the Volume of Piece is 12 cm³

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$\sf can\: be \: cut = \dfrac{volume\: of\: cuboidal\: block}{volume \: of\: cuboidal\: piece}$

$\sf = \dfrac{576}{12}$

$\sf = 48$

Hence, 48 of them can be cut.