Question

The Louvre Pyramid, designed by the architect I. M. Pei, is a landmark in the city of Paris. The right pyramid has a vertical height of 21.621.621, point, 6 meters (\text{m})(m)(, start text, m, end text, )and a square base with side length 35\,\text{m}35m35, start text, m, end text. The Inverted Pyramid is a skylight in the shape of an upside-down right pyramid located on the ceiling of a mall below the Louvre Pyramid. The Inverted Pyramid has a vertical height of 7and a square top with side length 16. Approximately how much greater is the volume of the Louvre Pyramid than the volume of the Inverted Pyramid, to the nearest cubic meter t, cubed,

Answer 1

8223 cubic meter

Explanation:

Louvre Pyramid

Vertical Height =21.6 meters

Side Length of Square Base =35 m

Volume of a Pyramid
`=(1)/(3)*$Base Area X Height`

Therefore, Volume of Louvre Pyramid
`=(1)/(3)*35^2 X 21.6`

=8820 cubic meter.

Inverted Pyramid

Vertical Height =7 meters

Side Length of Square Base =16 m

Volume of a Pyramid
`=(1)/(3)*$Base Area X Height`

Therefore, Volume of Louvre Pyramid
`=(1)/(3)*16^2 X 7`

=597.33 cubic meter.

Difference in Volume

Difference=Volume of Louvre Pyramid-Volume of Inverted Pyramid

=8820-597.33

=8222.67

=8223 cubic meter (to the nearest cubic meter)