Answer:
1,000
Step-by-step explanation:
The base and height didn't change, therefore the volume didn't change. It's the same shape just slanted, it takes up the same amount of space
The volume of the tilted shape is the same as the cube i.e. 1000 cubic feet
Volume is defined as the ratio of the mass of an object to its density.
For cube
The volume of the cube = 1000
a³ = 1000
a = ∛1000
a = ∛10*10*10
a = 10
For the new tilted solid the base is the same as the cube but the height became the slanted side and the measure of this slanted side becomes 2 units more than the height of the cube so,
Slanted length = 2 +hieght of the cube
= 2 + 10
= 12
Width = 10
height = 10
length = 10
Now the volume of the tilted shape
= area of the parallelogram * width
= 10 * 10 * 10
= 1000 cubic feet
It shows tilting the shape may have changed the length of one side by 2 units but it does not affect the volume occupied by the tilted shape.
Thus, the Volume of the tilted shape is the same as the cube i.e. 1000 cubic feet
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