Question

The top portion of the Washington Monument is a square pyramid. The dimensions are shown in the net to the nearest foot.

What is the surface area of the top of the Washington Monument, including the base?

Answer 1

5215 sq ft. S= p times h /2 +B
35*4 * 57/ 2. + 35*35
Got h=57 by a2+b2=c2
17.5 sq+ 55 sq =5215 sq rt of 5215 is 57

Answer 2

Explanation:

Alright let's get started.

We have given a square pyramid whose base is given as 35 ft and lateral height is 55 ft.

we have to find the surface area of the square pyramid including base.

since the base is a square and we have the side 35ft,

so the area of the base =
`35*35=1225`

Now, the area of the each triangle=
`(1)/(2) *base*height`

so, the area of one triangle =
`(1)/(2) * 35*55=962.5`

Since,we have four triangles so total area =
`4*962.5=3850`

therefore, the total surface area = area of the base plus the area of four triangles i.e.
`1225+3850=5075`.

Hence, the surafce area of the top of the washington monument including the base is 5075ft.