Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Volume of 3d-shapes(sphere, prism) |
Grade: 4-a Lesson: S3-L3 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
The triangular face has a base of 11 cm and a perpendicular height of 21 cm. The prism has a length of 9.5 cm. Find the volume of a triangular prism. |
|
2 |
Step |
The given values are |
b = 11 cm and h = 21 cm and l = 9.5 cm |
3 |
Formula |
To find the volume of a triangular prism, you can use the formula: |
\$"Volume" = "base" "area" times "height" \$ ( height = length) |
4 |
Step |
The formula for the area of a triangle is: |
\$ "Base area" = 1/2 times "base times height"\$ |
5 |
Step |
Now plug the values into the formula |
\$"Base area" = 1/2 times 11 times 21\$ |
6 |
Step |
After simplification |
\$"Base area" = 1/2 times 231\$ |
7 |
Step |
After simplification |
Base area = 115.5 cm |
8 |
Step |
Now plug the values into the triangular prism formula |
\$"V" = 115.5 times 9.5\$ |
9 |
Step |
After simplification |
V = 1097.25 cu.cm |
10 |
Step |
Therefore, the volume of the triangular prism is 1097.25 cu.cm |
|
11 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
12 |
Choice.A |
This is not correct because it appears to have a slightly different value. When compared to the correct answer |
\$1079.25 cm^3\$ |
13 |
Choice.B |
This is correct because the calculation are accurately done by using the triangle prism formula |
\$1097.25 cm^3\$ |
14 |
Choice.C |
This is not correct because it appears to have a slightly different value. When compared to the correct answer |
\$1079.52 cm^3\$ |
15 |
Choice.D |
This is not correct because it appears to have a slightly different value. When compared to the correct answer |
\$1097.52 cm^3\$ |
16 |
Answer |
Option |
B |
17 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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