Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagonal prism with a cylinder measures 13.9cm. What is the height of the 4th tower when all three shapes are used?

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

----- Equation 1

----- Equation 2

----- Equation 3

Subtract equation 1 from 2

---- Equation 4

Add Equation 4 to Equation 3

Divide both sides by 2

Substitute in Equation 2 and 3

----- Equation 2

Subtract 8.3 from both sides

----- Equation 3

Subtract 8.3 from both sides

So, we have that

The question states that the 4th tower is made up of the three shapes;

This implies that;

The height of the 4th tower is 23.9cm

the value of x is 28.2