Lesson Example Discussion Quiz: Class Homework |
Step-5 |
Title: Length |
Grade: 6-a Lesson: S3-L1 |
Explanation: Let us verify the answer here with the steps. |
Description:
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
A construction site needs to pour a concrete foundation that is 18 inches thick. If the dimensions of the foundation are 40 feet by 60 feet, how many cubic yards of concrete are required? |
|
2 |
Step |
The dimensions of the foundation are 40 feet by 60 feet, and it’s 18 inches thick. |
|
3 |
Step |
First, we need to convert the thickness into feet (12 inches = 1 foot): |
\$ (18 "inches")/ (12 "inches per foot")\$ = 1.5 feet |
4 |
Formula: |
Now, we need to calculate the volume: |
Volume = \$"Length" \times "Width" \times "Height"\$ |
5 |
Step |
Now substitute the values in the formula: |
Volume = \$40 feet \times 60 feet \times 1.5 feet\$ |
6 |
Step |
Next, convert the volume to cubic yards (1 cubic yard = 27 cubic feet): |
Volume (in cubic yards) = \$(40 feet \times 60 feet \times 1.5 feet) / (27 cubic feet per cubic yard)\$ |
7 |
Step |
After multiplication, we get |
Volume (in cubic yards) = \$(3600 "cubic feet") / (27 "cubic feet per cubic yard"\$ |
8 |
Step |
After division, we get |
Volume (in cubic yards) = 133.33 cubic yards |
9 |
Step |
So, approximately 133.33 cubic yards of concrete are required for the foundation. |
|
10 |
Answer |
C |
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