Question

SERIOUSLY NEED HELP WITH THIS QUESTION.

The cube in the image has a volume of 1,000 cubic feet. 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. What is the volume of the tilted solid?
800 cubic feet

1,000 cubic feet

1,200 cubic feet

2,000 cubic feet

Answer 1

Answer: 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. the volume of new solid = Area of its base × height

= 10 × 100

= 1000 ft

Answer 2

The second solid is a parallelepiped.

The volume of a parallelepiped is the area of the base times the height (the perpendicular distance from the base to the top face).

Given that the second solid has the same base of the cube and the same height, then the volumes of two solids are the same.

Answer: 1000 cubic feet.