Lesson Example Discussion Quiz: Class Homework |
Step-3 |
Title: Area and Perimeter |
Grade: 6-a Lesson: S2-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
A rectangular prism with a height of 5 cm and a volume of \$261 cm ^3\$has a length 3 times of its width. Find the length and width. |
|
2 |
Step |
The given value are |
h = 5 cm , l = 3b and \$V = 261 cm^3\$ |
3 |
Formula: |
The volume of rectangle is |
\$V = length times width times height\$ |
4 |
Step |
Now substitute the values |
\$261 = 3b times b times 5\$ |
5 |
Step |
After simplification |
\$261 /5 = 3b^2\$ |
6 |
Step |
After simplification |
\$261 /5 = 3b^2\$ |
7 |
Step |
After simplification |
\$ 3b^2 = 52.2\$ |
8 |
Step |
After simplification |
\$b^2 = 17.4\$ |
9 |
Step |
After simplification |
\$ b = \sqrt 17.4\$ |
10 |
Step |
After simplification |
b = 4.17 cm |
11 |
Hint |
Here the length is 3 times of width |
l = 3b |
12 |
Step |
Now substitute the values |
\$l = 3 times 4.17\$ |
13 |
Step |
After simplification |
l = 12.51cm |
14 |
Step |
The length and width of the rectangular prism l = 12.51 cm and b = 4.17 cm |
|
15 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
16 |
Choice.A |
12.15 cm , 4.71 cm is not correct because it does not satisfy the given conditions for the length and width |
12.15 cm , 4.71 cm |
17 |
Choice.B |
12.51 cm, 4.17 cm is correct because it satisfies the given conditions for the length and width |
12.51 cm , 4.17 cm |
18 |
Choice.C |
12.4 cm, 4.5 cm is not correct because it does not satisfy the given conditions for the length and width |
12.4 cm , 4.5 cm |
19 |
Choice.D |
14.17 cm , 12.51 cm is not correct because it does not satisfy the given conditions for the length and width |
4.17 cm , 12.51 cm |
20 |
Answer |
Option |
B |
21 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
|
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