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

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.

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

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.

Explanation: After plugging the values into the formula, we get the surface area of the cone to be 703.36.

Step 1c

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.

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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