Question

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic feet 54 cubic feet 72 cubic feet

Answer 1

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

What is a cube?

• A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
• The cube is one of the five Platonic solids and the only regular hexahedron.
• It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

• 18 cubic feet is the volume of the pyramid.
• Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
• We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
• So, the volume of the cube = 3 × 18
• The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

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The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(C) 54 cubic feet

(D) 72 cubic feet