a rectangular box with dimensions of 2 1/2 cm x 2 cm x 1 cm
Are you interested in the volume?
V = length x width x height
you have the numbers.
the main diagonal measures 3.35 cm
To find the volume of a rectangular box, you multiply the lengths of its three dimensions. In this case, the length is 2 1/2 cm, the width is 2 cm, and the height is 1 cm.
Now let's convert the mixed number, 2 1/2, into an improper fraction. To do that, you multiply the whole number (2) by the denominator of the fraction (2), and then add the numerator (1). This gives us (2 * 2) + 1 = 5. So, 2 1/2 can be written as 5/2.
Now we have the dimensions of the box as 5/2 cm x 2 cm x 1 cm.
To calculate the volume, multiply these three dimensions:
Volume = (5/2 cm) * (2 cm) * (1 cm)
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers) separately:
Volume = (5 * 2 * 1) / (2 * 1 * 1) = 10 / 2 = 5 cm³
The volume of the rectangular box is 5 cubic centimeters.