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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