Respuesta :
The volume of the given solid that is bounded by the coordinate planes and the plane 9x + 5y + z = 45 is 45 units³.
What is volume?
- Volume is a measurement of three-dimensional space that is occupied.
- It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.
- Volume and the notion of length are connected.
- For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.
- The quantity of space occupied by a three-dimensional object can also be used to describe volume.
So, we have: 9x + 5y + z = 45
Let us consider z = 0.
Then we have:
9x + 5y = 45
Now, we obtain:
x = 45/9 - y
OR
y = 45/5 - x
Hence,
45/9 × 45/5
2,025/45
45 units³
Therefore, the volume of the given solid that is bounded by the coordinate planes and the plane 9x + 5y + z = 45 is 45 units³.
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