Question

A rectangular prism tabletop has an area of 1,512 square inches the length of the table top is 18 in right and solve an equation to find the width of the table top show your work 6th grade level

Answer 1

To find the width of the rectangular prism tabletop, we will use the formula for the area of a rectangle, which is:

\[
\text{Area} = \text{Length} \times \text{Width}
\]

We know the area of the tabletop is 1,512 square inches and the length is 18 inches. We need to find the width (let's call it \(w\)).

Using the formula, we can set up the equation:

\[
1,512 = 18 \times w
\]

To solve for \(w\), we can divide both sides of the equation by 18:

\[
w = \frac{1,512}{18}
\]

Now, let's do the division:

1. First, we can simplify the division:
- Divide 1,512 by 18.

To make the division easier, we can break it down as follows:

1. **Perform the division**:

\[
1,512 \div 18 = 84
\]

So, \(w = 84\).

Thus, the width of the tabletop is:

\[
\text{Width} = 84 \text{ inches}
\]

### Summary of Steps:
1. Used the area formula \( \text{Area} = \text{Length} \times \text{Width} \).
2. Set up the equation \( 1,512 = 18 \times w \).
3. Divided both sides by 18 to solve for \( w \).
4. Found \( w = 84 \) inches.