You want to build a basketball court in your backyard.  The dimensions for the cement will be 94’ by 50’ by 0.22’.  How many cubic yards of cement will you need?

To find the amount of cement needed for the basketball court, we need to calculate the volume of the cement slab in cubic feet first, and then convert that volume into cubic yards.

### Step 1: Calculate the volume in cubic feet

The formula for the volume \( V \) of a rectangular prism (like a slab of cement) is:

\[
V = \text{Length} \times \text{Width} \times \text{Height}
\]

Given dimensions:
- Length = 94 feet
- Width = 50 feet
- Height (Thickness) = 0.22 feet

\[
V = 94 \times 50 \times 0.22
\]

### Step 2: Perform the multiplication

\[
V = 1034 \times 0.22 = 1034 \times 11 = 1130.8 \text{ cubic feet}
\]

\

### Step 3: Convert cubic feet to cubic yards

Since there are 27 cubic feet in a cubic yard, we divide the volume by 27:

\

\[
V = \frac{1130.8}{27}
\] 

**Volume in cubic yards = 41.88 cubic yards**

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Would you like me to check that math or move to another?

1. What if the court thickness was twice as think, would you need double the cement?
2. How many bags of cement would you need if bag of cement is used.
3. If it rained, how many cubic foots of water would be sitting on slab?
4. Wouldn;t it be cheaper to make this out of wood or foam.
5. Would you need reinforcement?

### Tip:

You need a fraction larger than real numbers in calculating volume for more heavy loads.


You want to build a basketball court in your backyard. The dimensions for the cement will be 94’ by 50’ by 0.22’. How many cubic yards of cement will you need?

Learn how to calculate the amount of cement required for a basketball court with dimensions 94’ by 50’ by 0.22’. This problem covers volume calculation in cubic feet and conversion to cubic yards. Suitable for students in Grades 8-10.

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