Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Surface Area of Pyramid |
Grade: 4-a Lesson: S3-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Determine the surface area of the square pyramid, given that side length = 8 cm and slant height = 12 cm. |
|
2 |
Step |
The given values are |
l = 8 cm and h = 12 cm |
3 |
Formula |
To find the surface area of a square pyramid, you can use the following formula |
\$"A_square-pyramid" = s^2 + 4 times (1/2 times s times l)\$ |
4 |
Formula |
Now find the base area by using the formula then make it simpler |
⇒ \$"A_base" = s^2\$ ⇒ \$"A_base" = 8^2\$ ⇒ \$"A_base" = 64\$ sq.cm |
5 |
Formula |
Now then find the area of a triangle then make it simpler |
⇒ \$"A_triangle" = 1/2 times s times l\$ ⇒ \$"A_triangle" = 1/2 times 8 times 12\$ ⇒ \$"A_triangle" = 48\$ sq.cm |
6 |
Step |
Now plug the value in the surface area of formula |
⇒ \$"A_square-pyramid" = 64 + 4 times 48\$ ⇒ \$"A_square-pyramid" = 64 + 192\$ ⇒ \$"A_square-pyramid" = 256 "cm"^2\$ |
7 |
Step |
Therefore, the surface area of the square pyramid is \$256 "cm"^2\$. |
|
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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9 |
Choice.A |
This is not correct because it is much smaller than the correct value |
48 sq.cm |
10 |
Choice.B |
This is not correct because that represents only the base area, and it does not include the lateral are |
64 sq.cm |
11 |
Choice.C |
This is incorrect because base area is not included in the total surface area calculation |
192 sq.cm |
12 |
Choice.D |
This is correct for the surface area of the square pyramid with a side length of 8 cm and a slant height of 12 cm |
256 sq.cm |
13 |
Answer |
Option |
D |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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