Ba Khổi 6, 7, 8 Của Một Trường THCS Có T - Gauthmath

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Question

The cross-section of the prism below is an equilateral triangle. What is the surface area of the prism? curatelySHOW LESS0

Solution

user avatar imageAnswer\(459.8 \, cm^2\)ExplanationStep 1: Calculate the area of one triangle using the formula for the area of an equilateral triangle, which is \( \frac{\sqrt{3}}{4} \times \text{side}^2 \). Here, the side is 8.2 cm, so the area of one triangle is \( \frac{\sqrt{3}}{4} \times 8.2^2 \). Step 2: Since there are two identical triangles, multiply the area of one triangle by 2 to get the total area of the two triangles. Step 3: Calculate the area of one rectangle using the formula \( \text{length} \times \text{width} \). Here, the length is 9.5 cm and the width is 13.4 cm, so the area of one rectangle is \( 9.5 \times 13.4 \). Step 4: Since there are three identical rectangles, multiply the area of one rectangle by 3 to get the total area of the three rectangles. Step 5: Add the total area of the two triangles to the total area of the three rectangles to find the surface area of the prism. The final surface area is \( 381.9 \, cm^2 + 77.9 \, cm^2 = 459.8 \, cm^2 \).Click to rate:40.3(72 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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