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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.

User Jefferey
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2 Answers

2 votes

The answer woukd be B 1,000

User Bara
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Answer: The volume of the tilted solid is 1000 ft³.

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

The cube in the image has a volume of 1000 cubic feet. The other solid has the same-example-1
User Eni
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