A box is shaped like a rectangular prism. The base area of the box is 630 square
centimetres, and the height is 20 centimetres. Determine the volume of the box.
Let's call the length and width of the base of the box "l" and "w", respectively. We know that the base area (l x w) is 630 square centimeters, so:
l x w = 630
We also know that the height of the box is 20 centimeters. So the volume of the box (V) is:
V = base area x height
V = (l x w) x 20
But we already know that l x w = 630, so we can substitute that in:
V = 630 x 20
V = 12,600 cubic centimeters
Therefore, the volume of the box is 12,600 cubic centimeters.
To determine the volume of the box, we can use the formula:
Volume = Base Area x Height
Given that the base area of the box is 630 square centimeters and the height is 20 centimeters, we can substitute these values into the formula:
Volume = 630 cm^2 x 20 cm
Multiplying these values together, we get:
Volume = 12600 cm^3
Therefore, the volume of the box is 12600 cubic centimeters.