Volume of Right Rectangular Prisms Practice

Question

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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?

Answer 1

To find the volume of a right rectangular prism, you can use the formula:

\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]

In this case, the dimensions of the popcorn box are:

• Length = 9 inches
• Width = 4 inches
• Height = 12 inches

Now, substitute the values into the formula:

\[ \text{Volume} = 9 , \text{inches} \times 4 , \text{inches} \times 12 , \text{inches} \]

Calculating that:

1. First, multiply the length and width: \[ 9 \times 4 = 36 , \text{square inches} \]

2. Then, multiply that result by the height: \[ 36 , \text{square inches} \times 12 , \text{inches} = 432 , \text{cubic inches} \]

Thus, the volume of the popcorn box is 432 cubic inches.