The volume of a box is 400 � � . 3 in. 3 . The height is 5 in. What is the area of the base of the box?
80 in.
80 in. ^2
8 in.
8 in. ^2
In order to determine the area of the base of the box, we need to know the length and width of the base as well. Since we know the volume of the box is 400 in. ^3 and the height is 5 in, we can use the formula for volume of the box:
Volume = Length x Width x Height
400 = Length x Width x 5
Now we need to find two numbers that multiply to 400 and divide by 5. The factors of 400 are:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Based on these factors, potential lengths and widths could be 40 and 10, or 20 and 20.
Either way, the area of the base is calculated by base x height, meaning that the area would be:
40 x 10 = 400 in. ^2
Therefore, the area of the base of the box is 400 in. ^2.