Question
Find the volume of a rectangular block of ice 3 ft by 1 and one half
ft by one half
ft.
Question content area bottom
Part 1
The volume of the rectangular block of ice is
enter your response here ftcubed.
ft by one half
ft.
Question content area bottom
Part 1
The volume of the rectangular block of ice is
enter your response here ftcubed.
Answers
GPT-4o mini
To find the volume of a rectangular block, you can use the formula:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For your block of ice, the dimensions are:
- Length = 3 ft
- Width = \(1 \frac{1}{2}\) ft = \(1.5\) ft
- Height = \( \frac{1}{2}\) ft
Now plug in the values:
\[
\text{Volume} = 3 \, \text{ft} \times 1.5 \, \text{ft} \times 0.5 \, \text{ft}
\]
Calculating this step by step:
1. Multiply the length and width:
\[
3 \times 1.5 = 4.5 \, \text{ft}^2
\]
2. Now multiply that result by the height:
\[
4.5 \, \text{ft}^2 \times 0.5 \, \text{ft} = 2.25 \, \text{ft}^3
\]
Therefore, the volume of the rectangular block of ice is:
\[
\text{Volume} = 2.25 \, \text{ft}^3
\]
So you can enter it as:
**2.25 ft³**
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For your block of ice, the dimensions are:
- Length = 3 ft
- Width = \(1 \frac{1}{2}\) ft = \(1.5\) ft
- Height = \( \frac{1}{2}\) ft
Now plug in the values:
\[
\text{Volume} = 3 \, \text{ft} \times 1.5 \, \text{ft} \times 0.5 \, \text{ft}
\]
Calculating this step by step:
1. Multiply the length and width:
\[
3 \times 1.5 = 4.5 \, \text{ft}^2
\]
2. Now multiply that result by the height:
\[
4.5 \, \text{ft}^2 \times 0.5 \, \text{ft} = 2.25 \, \text{ft}^3
\]
Therefore, the volume of the rectangular block of ice is:
\[
\text{Volume} = 2.25 \, \text{ft}^3
\]
So you can enter it as:
**2.25 ft³**