Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Three-dimensional (3D) shapes |
Grade: 6-a Lesson: S4-L2 |
Explanation: Here are some examples of the topic with images and steps in sequence. |
Examples:
The silo has a conical shape with a slant height of 20 meters and a radius of 8 meters. Calculate the total cost of painting the silo, given that the cost of painting is $5 per square meter? Please note that the value of π is 3.14.
Step 1a
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The radius provided is 8 meters, and the slant height (l) is 20 meters. To find the cost of painting the silo, calculate the total surface area of the cone using the formula Surface Area = πr(r + l), and then multiply it by the cost per square meter. |
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Explanation: In this step,to find the cost of painting the silo, calculate the cone’s surface area using the formula Surface Area = πr(r + l), and multiply it by the cost per square meter. The given measurements are a radius of 8 meters and a slant height of 20 meters. |
Step 1b
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Now plug the values into the formula: Surface area = \$3.14\times 8(8 + 20)\$ Surface area = \$25.12 \times 28 = 703.36\$ So, the surface area of cone is 703.36. |
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Explanation: After plugging the values into the formula, we get the surface area of the cone to be 703.36. |
Step 1c
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The cost of painting is $5 per square meter. Therefore, the total cost © can be calculated by multiplying the surface area by the cost per square meter: \$"C" = "Surface Area" times "Cost per square meter"\$ \$"C" = 703.36 times $5\$ C = $3516.80 So, the cost of painting the silo is approximately $3,516.80. |
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Explanation: In this step, to calculate the cost of painting the silo, multiply the surface area by the cost per square meter. Formula: \$"Cost" = "Surface Area" times "Cost per square meter"\$ \$"Cost" = 703.36 "sq.m" times $5 = $3516.80\$. |
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