Respuesta :
The answer is 1000 cubic feet either. The reason for that is fallowing:
Imagine you cut cube 2 peaces so that your cut is normal to bases and it passes throught both bases. If you take those 2 pieces and switch their position and stick one to another you will get non tilted original cube.
what you can conclude from this is that tilting doesnt influence volume if bases and height remain the same.
Imagine you cut cube 2 peaces so that your cut is normal to bases and it passes throught both bases. If you take those 2 pieces and switch their position and stick one to another you will get non tilted original cube.
what you can conclude from this is that tilting doesnt influence volume if bases and height remain the same.
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that the volume of cube is 1,000 cubic feet.
The volume of cube is
[tex]V=a^3[/tex]
[tex]1000=a^3[/tex]
[tex]a=10[/tex]
The side length of cube is 10 feet.
It is given that the other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height.
The area of tilted solid is
[tex]V=\text{Area of base}\times \text{height}[/tex]
Since height and base are same, so the area of tilted solid is
[tex]V=(10 \times 10)\times 10=1000[/tex]
The volume of the tilted solid is 1,000 cubic feet. Therefore the correct option is 2.
