Question
An arcade has a box completly 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, use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Given that the area of the base is 700 square inches and the height of the box is 21 inches, we can plug these values into the formula:
\[
\text{Volume} = 700 \, \text{in}^2 \times 21 \, \text{in}
\]
Now, calculate the volume:
\[
\text{Volume} = 14700 \, \text{in}^3
\]
Therefore, the volume of the prize box is **14,700 cubic inches**.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Given that the area of the base is 700 square inches and the height of the box is 21 inches, we can plug these values into the formula:
\[
\text{Volume} = 700 \, \text{in}^2 \times 21 \, \text{in}
\]
Now, calculate the volume:
\[
\text{Volume} = 14700 \, \text{in}^3
\]
Therefore, the volume of the prize box is **14,700 cubic inches**.