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You are making a pyramid-shaped trophy.
The trophy has a square base with side lengths of 9 inches and a slant height of 11 inches.
The paint needed costs $0.15 per square inch.
How much will it cost to paint the faces of the trophy?

Show your work

Respuesta :

Answer: [tex]\$29.7[/tex]

Step-by-step explanation:

Given

The trophy has a side of [tex]a=9\ in.[/tex]

Slant height [tex]l=11\ in.[/tex]

Rate  of painting [tex]r=\$\ 0.15/in.^2[/tex]

Lateral surface area of square pyramid is [tex]2al[/tex]

Insert the values

[tex]\Rightarrow 2\times 9\times 11\\\Rightarrow 198\ in.^2[/tex]

Cost of painting

[tex]\Rightarrow 198\times 0.15=\$29.7[/tex]