<h3><u>Given :-</u></h3>
- A box of clay contains 25 packs
Each pack is a cuboid having dimensions 10cm × 10cm × 4 cm
<h3>
<u>To</u><u> </u><u>Find </u><u>:</u><u>-</u><u> </u></h3>
- <u>We have to find</u><u> </u><u>the</u><u> no of spheres of radius 6cm can Jack make from a box of clay </u><u>.</u>
<u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u>
<u>Here, we have </u>
- Length of one pack = 10cm
- Breath of 1 pack = 10 cm
- Height of 1 pack = 4 cm
<u>We know that, </u>
Volume of cuboid
<u>Subsitute the required values, </u>
Thus, The volume of 1 pack is 400 cm²
<h3><u>Now, </u></h3>
<u>We </u><u>know </u><u>that</u><u>, </u>
Volume of sphere
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
<h3><u>Therefore</u><u>, </u></h3>
No of spheres formed by 1 packs of cuboid
n = Volume of 1 packs/ Volume of sphere
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
Thus, The number of spheres formed by 1 pack of cuboid are 4.36
<h3>
<u>Therefore</u><u>, </u></h3>
Total number of spheres formed by 25 packs
Hence, The total number of spheres made by Jack from a box of clay is 109 spheres.