Answer:
The length of a side of the base of the box is 13 cm.
Explanation:
To find the length of a side of the base of the box, we need to use the formula for the volume of a box.
The volume of a box is given by the formula:
V = l^2 * h
Where:
V is the volume,
l is the length of a side of the base, and
h is the height of the box.
Substituting the given values:
V = 1352 cm^3
h = 8 cm
1352 = l^2 * 8
Dividing both sides by 8:
l^2 = 169
Taking the square root of both sides:
l = √169
Calculating the length of a side of the base:
l = 13 cm
Therefore, the length of a side of the base of the box is 13 cm.