Question

A building in the shape of a cube has a width of 30ft a length of 30ft and a height of 30ft. An architect wants to build a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth .

Answer 1

Answer:

The height of the scale model is 13.92 feet. (Rounding to the nearest hundredth).

Step-by-step explanation:

These are the measurements of the real building:

Height = 30 feet

Width = 30 feet

Length = 30 feet

Volume of the real building = 30 * 30 * 30 = 27,000 cubic feet

These are the measurements of the scale model:

Volume of the scale model = 10% of 27,000 cubic feet

Volume of the scale model = 0.1 * 27,000 = 2,700 cubic feet

Height = ∛ 2,700 = 13.92 feet (Rounding to nearest hundredth)

Width =  ∛ 2,700 = 13.92 feet (Rounding to nearest hundredth)

Length =∛ 2,700 = 13.92 feet (Rounding to nearest hundredth)

The height of the scale model is 13.92 feet.