Question

Start with a square piece of cardboard to produce a box that is 8 cm deep and whose capacity is exactly 1 liter. how large must the original square be

Answer 1

The formula for the volume of a square prism or box is calculated using the formula:

V = s^2 * h

where,

s is the measure of the sides of a square

h is the height of the prism or box = 8 cm

We are given that the volume capacity of the box must be 1 Liter. We know that 1 Liter is equivalent to 1000 cm^3. Therefore calculating for s:

1000 cm^3 = s^2 * (8 cm)

s^2 = 125 cm^2

s = 11.18 cm

Therefore the measure of the sides of the square must be about 11.18 cm. If the problem ask for the area of the square, A = s^2 = 125 cm^2.