The cube in the image has a volume of 1000 cubic feet. The other solid has the same base and height as teh cube, but the length
of its slanted sides is 2 units longer than the height. What is the volume of the tilted solid.
2 answers:
Answer: The volume of the tilted solid is 1000 ft³.
Step-by-step explanation:
Since, The volume of a cube = ( side )³
⇒ 1000 = (side)³ ⇒ side = 10
Hence, the side of the given cube = 10 feet
Since, the base of a cube = square having side 10 feet.
When we tilted the cube by 2 units,
Then, the base of the new solid = Rhombus having height 10 meters and base 10 feet,
Since, the square and rhombus are lying in the same base ( Shown in diagram)
Area of rhombus (Base of new solid) = Area of square having side 10 feet = 100 ft²
Since, the height of new solid is also 10 feet.
Thus, the volume of new solid = Area of its base × height
= 10 × 100
= 1000 ft²
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