Answer:
170 m³
Explanation:
To solve this type of problem, assume you have two solids joined together to make the shape you have up there. This will enable you find the volume of each, then sum both volume together to get your answer.
Let's solve for the volume as follows.
If we divide the solid into 2, what we have is 2 cuboid: the first having dimensions of:
length (l) = 6m,
width (w) = 2m,
height (h) = 8m
Volume of the first cuboid =
![l*w*h = 6*2*8 = 86 m^3](https://img.qammunity.org/2021/formulas/mathematics/college/14nwzam2web1r04rbhwf7m5c37pk607xpf.png)
The second cuboid:
length (l) = 7m,
width (w) = 6m,
height (h) = 2m
Volume of the first cuboid =
![l*w*h = 7*6*2 = 84 m^3](https://img.qammunity.org/2021/formulas/mathematics/college/epfp8obp5a4sayc8ino1qu0xzuqqv5tixv.png)
Volume of the figure = 86 + 84 = 170 m³