Given:
Length of sandbox (l)= 3 m
Breadth (b) = 2 m
Height (h) = 1 m
Cost of sand for the sand box = $4.50 per cubic meter.
To find:
The cost to completely fill the sandbox with sand.
Solution:
Volume of cuboid is
![Volume =l* b* h](https://img.qammunity.org/2021/formulas/mathematics/high-school/yz3tr4lpi2sqytnda9t53laibq795rnb11.png)
So, volume of sand box is
![Volume =3* 2* 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/fzk04az9shigwzju1bxub0286an122x61w.png)
![Volume =6 \text{ m}^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/8iqssql5by4fz41xax7vb7sef9yzdoa0u1.png)
So, we need 6 cubic meter sand to fill the sandbox completely.
Cost of one cubic meter of sand for the sand box = $4.50
Cost of 6 cubic meter of sand for the sand box = 6 × $4.50
= $27
Therefore, the cost to completely fill the sandbox with sand is $27.