Question
An arcade has a box completely filled with prizes. The rectangular base of the box has an area of 700 square inches. The box is 21 inches in height. What is the volume of the prize box?
Answers
GPT-4o mini
To find the volume of the prize box, you can use the formula for the volume of a rectangular prism, which is given by:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, the base area of the box is given as 700 square inches, and the height of the box is 21 inches. Plugging these values into the formula gives:
\[
\text{Volume} = 700 \, \text{in}^2 \times 21 \, \text{in}
\]
Now, performing the multiplication:
\[
\text{Volume} = 14700 \, \text{in}^3
\]
Therefore, the volume of the prize box is \( \boxed{14700} \) cubic inches.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, the base area of the box is given as 700 square inches, and the height of the box is 21 inches. Plugging these values into the formula gives:
\[
\text{Volume} = 700 \, \text{in}^2 \times 21 \, \text{in}
\]
Now, performing the multiplication:
\[
\text{Volume} = 14700 \, \text{in}^3
\]
Therefore, the volume of the prize box is \( \boxed{14700} \) cubic inches.