Lesson Example Discussion Quiz: Class Homework |
Step-4 |
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 triangular pyramid with a slant height of 11 cm is 567 cubic cm and the height is 9 cm. Could you find the length of its base? |
|
2 |
Step |
The given values of volume, height and slant height are |
V = 567 \$cm^3\$ |
3 |
Formula |
The volume of the Triangular pyramid is |
V = \$1/3 times a times h\$ |
4 |
Formula |
The area of the base of the pyramid equals half of the product of the base and the height |
a = \$1/2 times b times h\$ |
5 |
Step |
Substitute the "a" value in the volume formula |
V = \$1/3 times (1/2 times b times h) times h\$ |
6 |
Step |
Substitute the given values in the above equation, we get |
567 = \$1/3 times (1/2 times b times 9) times 9\$ 567 = \$1/6 times b times 81\$ |
7 |
Step |
After simplification, we get |
567 = \$81/6 times b\$ 567 = \$13.5 times b\$ \$567/13.5\$ = b b = 42 |
8 |
Step |
The base length of a triangular pyramid is 42 cm. |
|
9 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
10 |
Choice.A |
The received answer for this problem doesn’t align with option, making it incorrect |
53 cm |
11 |
Choice.B |
The answer for this problem is equivalent to the one provided in option, making it the correct choice |
42 cm |
12 |
Choice.C |
The received answer for this problem doesn’t align with option, making it incorrect |
66 cm |
13 |
Choice.D |
The received answer for this problem doesn’t align with option, making it incorrect |
69 cm |
14 |
Answer |
Option |
B |
15 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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