Question

I need help finding the surface area of the gurgle it also says to round to the nearest hundredth where necessary. Please help!

Answer 1

1725 square feet

Explanations:

The formula for calculating the surface area of a square-based pyramid is expressed as:

`A=a^2+2a\sqrt{(a^2)/(4)+h^2}`

where:

a is the side length of the square

h is the height

Given the following parameters:

a = 30ft

h = 20ft

Substitute the given parameters to have:

`\begin{gathered} A=a^2+2a\sqrt{(a^2)/(4)+h^2} \\ A=(30^2)/(4)+2\left(30\right)\sqrt{(30^2)/(4)+20^2} \\ A=(900)/(4)+60\sqrt{(900)/(4)+400} \\ A=225+60√(225+400) \\ A=225+60√(625) \\ A=225+60\lparen25) \\ A=225+1500 \\ A=1725ft^2 \end{gathered}`

Hence the total surface area is 1725 square feet