Lesson Example Discussion Quiz: Class Homework |
Step-4 |
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 |
The lateral surface area of the square pyramid is 660 square inches,the slant height of the pyramid is 15 inches, find its base length? |
|
2 |
Step |
The given values are |
A = 660 sq.in and h = 15 in |
3 |
Step |
The lateral surface area (LSA) of a square pyramid is given by the formula |
\$"LSA" = 1/2 times "Perimeter" times "Slant Height"\$ |
4 |
Hint |
Perimeter = 4s |
|
5 |
Step |
Now plug the values in the formula |
\$660 = 1/2 times 4s times 15\$ |
6 |
Step |
Now let’s slove for s |
⇒ \$660 = 2s times 15\$ ⇒ \$660/15 = 2s\$ ⇒ \$44 = 2s\$ ⇒ s = 22 |
7 |
Step |
Therefore, the base length of the square pyramid is 22 inches. |
|
8 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
9 |
Choice.A |
This is incorrect because they provide base lengths that do not match the calculated value |
25 inches |
10 |
Choice.B |
This is incorrect because they provide base lengths that do not match the calculated value |
15 inches |
11 |
Choice.C |
This is incorrect because they provide base lengths that do not match the calculated value |
18 inches |
12 |
Choice.D |
This answer is accurate as it correctly recognizes the square pyramid’s base length as 22 inches |
22 inches |
13 |
Answer |
Option |
D |
14 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
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