Question
A rectangular prism has a volume of 840 cubic inches The height of the prism is 6 in and the width is 10 in find the length of the prism and explain how you found it 5th grade level
Answers
GPT-4o mini
To find the length of the rectangular prism, we can use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
We know the volume is 840 cubic inches, the height is 6 inches, and the width is 10 inches. We can plug in the values we know into the formula:
\[
840 = \text{length} \times 10 \times 6
\]
Now, we can simplify the right side of the equation. First, we multiply the width and the height:
\[
10 \times 6 = 60
\]
So, the equation now looks like this:
\[
840 = \text{length} \times 60
\]
Next, we want to find the length. To do this, we divide both sides of the equation by 60:
\[
\text{length} = \frac{840}{60}
\]
Now, we do the division:
\[
840 \div 60 = 14
\]
So, the length of the prism is 14 inches.
In summary, we found the length by using the volume formula and plugging in the values we knew. Then, we simplified the equation and divided to get the length of the prism.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
We know the volume is 840 cubic inches, the height is 6 inches, and the width is 10 inches. We can plug in the values we know into the formula:
\[
840 = \text{length} \times 10 \times 6
\]
Now, we can simplify the right side of the equation. First, we multiply the width and the height:
\[
10 \times 6 = 60
\]
So, the equation now looks like this:
\[
840 = \text{length} \times 60
\]
Next, we want to find the length. To do this, we divide both sides of the equation by 60:
\[
\text{length} = \frac{840}{60}
\]
Now, we do the division:
\[
840 \div 60 = 14
\]
So, the length of the prism is 14 inches.
In summary, we found the length by using the volume formula and plugging in the values we knew. Then, we simplified the equation and divided to get the length of the prism.