Posted by **Bob** on Wednesday, April 2, 2014 at 8:44pm.

The entrance hall to the Louvre Museum

in Paris is a glass and metal pyramid with a surface area of approximately 1980 square on each side . The base of the pyramid is a square that is 35.4 meters on each side. What is the slant height of the pyramid ? Round to the nearest hundredth . The base area is not included in the surface area.

- Math -
**Reiny**, Wednesday, April 2, 2014 at 9:08pm
let the slant height of one side be h

then using (1.2)base x height

1980 = (1/2)(35.4)h

h = 3960/(35.4)

= 111.8644

= appr 111.86 m

this can't be. According to the given dimensions on the webpage, the base is about 35 by 35 and the height is 21.6 m, for a slant height of 27.8 m

this would give each triangle an area of

(1/2)(35)(27.8)

= 486.5

for a total of 486.5(4) or 1946 square units

You stated an area of 1980 for each side.

so using your given 1980

area of one triangle = 1980/4 = 495

then (1/2)(35.4)h = 495

h = 27.966

height is 27.97 m

## Answer This Question

## Related Questions

- geometry - The Louvre Pyramid in Paris, France, has the same proportions as the ...
- Math Homework - 1) Given the side of a square pyramid is 6cm and the altitude is...
- math - looking at a square pyramid, if the size of the base remains the same and...
- Mathematics - OPQRS is a right pyramid whose base is a square of sides 12cm each...
- geometry - A pyramid has a square base with each side measuring 105.5 meters. ...
- math - A truncated square pyramid (also known as a frustum) is an object ...
- geometry - The base of a pyramid is a square. The perimeter of the base is 20ft...
- Math - A building in the shapeof a sqaure pyramid is to be covered with one-way ...
- Geometry - When finding the surface area of a composite figure, which in this ...
- Maths - OPQRS is a right pyramid whose base is a square of sides 12cm each. ...

More Related Questions