Questions: 50° 15 cm 15 cm

50° 15 cm 15 cm
Transcript text: 50° 15 cm 15 cm
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Solution

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Solution Steps

Step 1: Find the height of the pyramid

The base of the triangle shown is half the side length of the square base, or 7.5 cm. The angle is given as 50°. We can use the tangent function to relate the height (h) to the base of the triangle: tan(50°) = h / 7.5 cm h = 7.5 cm * tan(50°) ≈ 8.94 cm

Step 2: Calculate the area of the base

The base is a square with sides of 15 cm. Area = 15 cm * 15 cm = 225 cm²

Step 3: Calculate the volume

Volume = (1/3) * base area * height Volume = (1/3) * 225 cm² * 8.94 cm ≈ 670.5 cm³

Final Answer: The volume of the pyramid is approximately 670.5 cm³

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