Question

It is important for engineers design and building so understanding the relationship between the height and volume of the building. A taller building if not billed correctly is more likely to collapse, because a small increase in height leads to a large increase in volume. an engineer builds to build a models of different sizes in the shape of square blocks . the smaller building has a height of 1m, and volume of 1m^3. The volume of the larger building is 125m^3. The height of the building, represented by X, is equal to the cube root of the buildings volume. The equation below can be used to find X, in meters. X^3=volume determine how much taller, in meters, the height of the larger building is then the smaller building.Mm

Answer 1

Larger building is 4 meters taller than smaller building.

Explanation:

Formula to get the height 'x' of a building having volume = x³ is,

x =
`\sqrt[3]{\text{Volume of the building}}`

Height of the smaller building,

`x_1=\sqrt[3]{1}`

`x_1=1`

Similarly, height of the larger building =
`\sqrt[3]{125}`

=
`\sqrt[3]{5^3}`

= 5 meters

Difference in the heights of the buildings = 5 - 1

= 4 meters

Therefore, difference is the height of larger and smaller building is 4 meters.