Question
Valentina has a tray where she keeps all of her important papers. The tray is in the shape of a rectangular prism with no top.
A rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches.
What is the volume of papers that the tray can hold?
160 inches cubed
180 inches cubed
280 inches cubed
300 inches cubed
A rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches.
What is the volume of papers that the tray can hold?
160 inches cubed
180 inches cubed
280 inches cubed
300 inches cubed
Answers
GPT-4o mini
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
For Valentina's tray:
- Length = 12 inches
- Width = 10 inches
- Height = 2.5 inches
Now, substituting the values into the formula:
\[
V = 12 \, \text{inches} \times 10 \, \text{inches} \times 2.5 \, \text{inches}
\]
Calculating step by step:
1. Multiply length and width:
\[
12 \times 10 = 120 \, \text{inches}^2
\]
2. Now multiply by height:
\[
120 \, \text{inches}^2 \times 2.5 \, \text{inches} = 300 \, \text{inches}^3
\]
Thus, the volume of papers that the tray can hold is
\[
\boxed{300 \, \text{inches cubed}}
\]
\[
V = \text{length} \times \text{width} \times \text{height}
\]
For Valentina's tray:
- Length = 12 inches
- Width = 10 inches
- Height = 2.5 inches
Now, substituting the values into the formula:
\[
V = 12 \, \text{inches} \times 10 \, \text{inches} \times 2.5 \, \text{inches}
\]
Calculating step by step:
1. Multiply length and width:
\[
12 \times 10 = 120 \, \text{inches}^2
\]
2. Now multiply by height:
\[
120 \, \text{inches}^2 \times 2.5 \, \text{inches} = 300 \, \text{inches}^3
\]
Thus, the volume of papers that the tray can hold is
\[
\boxed{300 \, \text{inches cubed}}
\]