Question

A large equilateral triangle pyramid stands in front of the city's cultural center. Each side of the base measures 50 feet and the slant height of each lateral side of the pyramid is 40 feet.

A painter can paint 100 square feet of the pyramid in 18 minutes.

How long does it take the painter to paint 75% of the pyramid?

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

Answer: 551.1

Explanation:

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Answer 2

316 min

Explanation:

Find the area of 1 side of the pyramid:

h = height of the triangle

40² = (50/2)² + h²

h² = 1600 - 625 = 975

h = √975 = 31.225

A = 1/2bh = 1/2(50)(31.225) = 780.6

Atotal = 3(780.6) = 2342

2342(.75) = 1756.4

(1756.4 sf)(18 min/100 sf) = 316.15 min