Question
Trinian mailed a box to her aunt. The base of the box was a square with a side length of 17 inches. The box was 10 inches tall.
Which of the following was the volume of the box?
A.
1,445 in3
B.
2,890 in3
C.
170 in3
D.
1,700 in3
Which of the following was the volume of the box?
A.
1,445 in3
B.
2,890 in3
C.
170 in3
D.
1,700 in3
Answers
GPT-4o mini
To find the volume of a box (which is a rectangular prism), you can use the formula:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, the base of the box is a square with a side length of 17 inches. First, we calculate the area of the base:
\[
\text{Base Area} = \text{side length}^2 = 17 \, \text{inches} \times 17 \, \text{inches} = 289 \, \text{in}^2
\]
Now, using the height of the box, which is 10 inches, we can calculate the volume:
\[
\text{Volume} = \text{Base Area} \times \text{Height} = 289 \, \text{in}^2 \times 10 \, \text{inches} = 2890 \, \text{in}^3
\]
Thus, the volume of the box is:
\[
\text{Volume} = 2890 \, \text{in}^3
\]
The correct answer is **B. 2,890 in³**.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, the base of the box is a square with a side length of 17 inches. First, we calculate the area of the base:
\[
\text{Base Area} = \text{side length}^2 = 17 \, \text{inches} \times 17 \, \text{inches} = 289 \, \text{in}^2
\]
Now, using the height of the box, which is 10 inches, we can calculate the volume:
\[
\text{Volume} = \text{Base Area} \times \text{Height} = 289 \, \text{in}^2 \times 10 \, \text{inches} = 2890 \, \text{in}^3
\]
Thus, the volume of the box is:
\[
\text{Volume} = 2890 \, \text{in}^3
\]
The correct answer is **B. 2,890 in³**.