Answer :
Explanation :
Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.
Here,
![{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/dguz2hzawyykvbub8v8m2fgltv8szn9sce.png)
![\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/an6okozs3tpvfs44qcacoloxul29wo6vl1.png)
![\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/bhsn1uvqxr2xj9p31sxetx7l0yflhw8b29.png)
Therefore,
![{\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length * breadth * height}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/o2r6nhoff9flz7trjg2tovoojdym1qj2eh.png)
![{\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 * 24 * 400 \: {cm}^(3) }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/k8hmcoxfnlv444y1p9n3imq3878evx80a8.png)
Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.
So,
![{\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length * breadth * height}}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/g0kmld6o47yeswmdd7dc3zytietpjcbshv.png)
![{\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 * 12 * 8 \: {cm}^(3) }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/9q29udqre7ss9xyozp9iuvvrxyxhibefls.png)
So,
![{\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = (volume \: of \: the \: wall)/(volume \: of \: each \: brick) }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kanb032ptxeaejgvmdmsshi8620mvc2w53.png)
![{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = (1000 * 24 * 400)/(24 * 13 * 8) }}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/l8jbd6xcial64f9fz12hoqz6i5jhbh8bmt.png)
![{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}](https://img.qammunity.org/2023/formulas/mathematics/high-school/splgarihdbh7oqo5tp9ogmnwv7cc5wqzrc.png)
Therefore,
- The wall requires 4167 bricks.