Question
A block of sharp cheddar cheese is in the shape of a rectangular prism. If the cheese has a length of 6.5 inches, a height of 1.25 inches, and a width of 2 inches, what is the volume of the block of cheese?(1 point)
Responses
9.75 inches cubed
9.75 inches cubed
16.25 inches cubed
16.25 inches cubed
47.25 inches cubed
47.25 inches cubed
15 inches cubed
Responses
9.75 inches cubed
9.75 inches cubed
16.25 inches cubed
16.25 inches cubed
47.25 inches cubed
47.25 inches cubed
15 inches cubed
Answers
GPT-4o mini
To find the volume of a rectangular prism, you can use the formula:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions of the cheese block:
- Length = 6.5 inches
- Height = 1.25 inches
- Width = 2 inches
Now, substitute these values into the formula:
\[
\text{Volume} = 6.5 \, \text{inches} \times 2 \, \text{inches} \times 1.25 \, \text{inches}
\]
Calculating this step by step:
1. Calculate \(6.5 \times 2 = 13\).
2. Multiply that result by \(1.25\):
\[
13 \times 1.25 = 16.25
\]
Therefore, the volume of the block of cheese is:
\[
\text{Volume} = 16.25 \, \text{inches}^3
\]
The correct answer is:
**16.25 inches cubed**.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions of the cheese block:
- Length = 6.5 inches
- Height = 1.25 inches
- Width = 2 inches
Now, substitute these values into the formula:
\[
\text{Volume} = 6.5 \, \text{inches} \times 2 \, \text{inches} \times 1.25 \, \text{inches}
\]
Calculating this step by step:
1. Calculate \(6.5 \times 2 = 13\).
2. Multiply that result by \(1.25\):
\[
13 \times 1.25 = 16.25
\]
Therefore, the volume of the block of cheese is:
\[
\text{Volume} = 16.25 \, \text{inches}^3
\]
The correct answer is:
**16.25 inches cubed**.