Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Volume of Pyramid |
Grade: 4-a Lesson: S3-L7 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
The volume of a square pyramid with a slant height of 18 inches is 576 cubic inches. and height is 12 inches, Find the length of its base. |
|
2 |
Step |
The given values of volume, height and slant height are |
V = 576 cu.inches |
3 |
Formula |
The volume of the square pyramid is |
V = \$1/3 times a times h\$ |
4 |
Formula |
The base area of the pyramid is the product of sides |
a = \$s times s\$ a = \$s^2\$ |
5 |
Step |
Substitute the "a" value in the volume formula |
V = \$1/3 times s^2 times h\$ |
6 |
Step |
Substitute the given values in the above equation, we get |
576 = \$1/3 times s^2 times 12\$ 576 = \$4 times s^2\$ \$576/4\$ = \$s^2\$ |
7 |
Step |
After simplification |
144 = \$s^2\$ \$sqrt 144\$ = s 12 = s |
8 |
Step |
The base length of pyramid is 12 inches. |
|
9 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
10 |
Choice.A |
This answer is accurate as it correctly recognizes the square pyramid’s base length as 12 inches |
12 inches |
11 |
Choice.B |
This is incorrect because they provide base lengths that do not match the calculated value |
20 inches |
12 |
Choice.C |
This is incorrect because they provide base lengths that do not match the calculated value |
15 inches |
13 |
Choice.D |
This is incorrect because they provide base lengths that do not match the calculated value |
18 inches |
14 |
Answer |
Option |
A |
15 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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