Answer:
The three buildings can look like following:
1. The building can look like a cube, with each side and height equal to 2.62 cm.
2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.
Explanation:
The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:
1. CUBIC SHAPE:
The building can look like a cube with the length of each side and height given as:
Volume of Cube = 18 cm³ = L³
L = ∛18 cm³ = 2.62 cm
Thus, the building can look like a cube, with each side and height equal to 2.62 cm.
2. CUBOID SHAPE:
The building can also look like cuboid with the following dimensions.
Length = 3 cm
Breadth = 1 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Cuboid = Length * Breadth * Height
Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³
Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.
3. PYRAMID SHAPE:
The building can also look like pyramid with the following dimensions.
Length = 3 cm
Breadth = 3 cm
Height = 6 cm
Thus, the volume becomes:
Volume of Pyramid = (Length * Breadth * Height)/3
Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³
Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.