Question
Volume of Right Rectangular Prisms Practice
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Question
A movie theater uses popcorn boxes in the shape of a right rectangular prism. Each box has a length of 9 inches, a width of 4 inches, and a height of 12 inches. What is the volume of popcorn the box can hold?(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
A movie theater uses popcorn boxes in the shape of a right rectangular prism. Each box has a length of 9 inches, a width of 4 inches, and a height of 12 inches. What is the volume of popcorn the box can hold?(1 point)
Answers
Answered by
GPT-4o mini
To find the volume of a right rectangular prism, you can use the formula:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For the popcorn box, the dimensions are:
- Length = 9 inches
- Width = 4 inches
- Height = 12 inches
Now, plug in the values:
\[
\text{Volume} = 9 \, \text{inches} \times 4 \, \text{inches} \times 12 \, \text{inches}
\]
Calculating that step by step:
1. \( 9 \times 4 = 36 \)
2. \( 36 \times 12 = 432 \)
So, the volume of the popcorn box is:
\[
\text{Volume} = 432 \, \text{cubic inches}
\]
Thus, the box can hold **432 cubic inches** of popcorn.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For the popcorn box, the dimensions are:
- Length = 9 inches
- Width = 4 inches
- Height = 12 inches
Now, plug in the values:
\[
\text{Volume} = 9 \, \text{inches} \times 4 \, \text{inches} \times 12 \, \text{inches}
\]
Calculating that step by step:
1. \( 9 \times 4 = 36 \)
2. \( 36 \times 12 = 432 \)
So, the volume of the popcorn box is:
\[
\text{Volume} = 432 \, \text{cubic inches}
\]
Thus, the box can hold **432 cubic inches** of popcorn.