Question
A cardboard box is shaped like a rectangular prism. The box has a base of 81 square inches and a height of 6 inches.
What is the volume of the box?
Responses
87 in³
87 in³
324 in³
324 in³
486 in³
486 in³
2,916 in³
What is the volume of the box?
Responses
87 in³
87 in³
324 in³
324 in³
486 in³
486 in³
2,916 in³
Answers
GPT-4o mini
To find the volume of a rectangular prism, you can use the formula:
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
In this case, the base area of the box is 81 square inches, and the height is 6 inches.
So, the volume can be calculated as follows:
\[ \text{Volume} = 81 \, \text{in}^2 \times 6 \, \text{in} \]
\[ \text{Volume} = 486 \, \text{in}^3 \]
Therefore, the volume of the box is **486 in³**.
\[ \text{Volume} = \text{Base Area} \times \text{Height} \]
In this case, the base area of the box is 81 square inches, and the height is 6 inches.
So, the volume can be calculated as follows:
\[ \text{Volume} = 81 \, \text{in}^2 \times 6 \, \text{in} \]
\[ \text{Volume} = 486 \, \text{in}^3 \]
Therefore, the volume of the box is **486 in³**.