Question

a cuboidal block of ice cream measuring 12 cm * 8 cm* 6 cm is cut into cuboidal pieces measuring 2 cm* 2 cm* 1 cm how many pieces will be formed​

Answer 1

Answer:

If a cuboidal block of ice cream measuring 12 cm * 8 cm* 6 cm is cut into cuboidal pieces measuring 2 cm* 2 cm* 1 cm then 144 pieces will be formed​.

Step-by-step explanation:

A cuboidal block of ice cream measuring $12 cm \times 8 cm \times 6 cm$

Volume of cuboid $= l\times b \times h = 12 \times 8 \times 6 =576 cubic cm$

Cuboidal pieces measuring $2 cm \times 2 cm \times 1 cm$

Volume of cuboidal piece $= 2 \times 2 \times 1 = 4 cubic cm$

Number of pieces will be formed​ = Volume of cuboid/Volume of cuboidal pieces  

$= \frac {576}{4} = 144$ pieces

Answer 2

Answer:

144 cuboidal pieces can be formed from the cuboidal block.

Step-by-step explanation:

The given sides of the cuboidal block are 12 cm, 8cm, and 6 cm. the question is to find how many cuboidal pieces having sides 2 cm, 2cm, and 1 cm can be formed from the cuboidal block. For that, we must find the volumes of the 2 cuboids. The volume of a cuboid can be found by multiplying the three sides, that is length, height, and breath. Therefore, the formula is given as follows,

            $V=l\times b\times h$

The volume of the cuboidal block,

                                    $V=l\times b\times h\\\\V=12\times 8\times 6\\\\V=576\ cm^{2}$

The volume of a cuboidal piece,

                                    $V=l\times b\times h\\\\V=2\times 2\times 1\\\\V=4\ cm^{2}$

Now divide the volume of the cuboidal block by the volume of a cuboidal piece to find the number of cuboidal pieces that can be formed. Therefore,

the number of cuboidal pieces = $\dfrac{576}{4} =144$

144 cuboidal pieces can be formed from the cuboidal block.