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📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 5A cartographer is creating a topographic map and needs to convert elevation data from feet to meters for a region spanning 15 square miles. If 1 square mile equals 2.59 billion square feet and the average elevation is 1,200 feet above sea level, what is the total elevation volume (in cubic feet) represented on the map across the entire area?

📌 First, convert 15 square miles to square feet: 15 × 2.59 billion = 15 × 2,590,000,000 = <<15*2590000000=38850000000>>38,850,000,000 square feet.

📌 The average elevation is 1,200 feet, so volume = area × average height = 38,850,000,000 × 1,200 = <<38850000000*1200=46620000000000>>46,620,000,000,000 cubic feet.

📌 #### 46620000000000

📌 A cartographer is designing a map with a scale of 1:50,000, where 1 cm on the map represents 500 meters in reality. If a river segment measures 7.4 cm on the map, what is the actual length of the river in kilometers?

📌 The scale is 1 cm = 500 m, so 7.4 cm = 7.4 × 500 = <<7.4*500=3700>>3,700 meters.

📌 Convert meters to kilometers: 3,700 ÷ 1,000 = <<3700/1000=3.7>>3.7 km.

📌 A cartographer is analyzing satellite imagery with a resolution of 0.5 meters per pixel. If a forested region covers 3,200 pixels in width and 4,800 pixels in height on the image, what is the actual area of the forest in square kilometers?

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