Question

you need 1,000 cubic centimeters of water and you have a box - shaped measuring container with a base 2.5 centimeters by 2.5 centimeters and marked at a height of 20 centimeters. how much more water do you need to add if you consistently underfill the container by 3 millimeters? (the volume of a box is v = lwh.) the amount of additional water needed is \\(\square\\) \\(\mathrm{cm}^3\\).

Explanation:

Step1: Convert underfill to cm

3 millimeters = 0.3 centimeters (since 1 cm = 10 mm, so 3 mm = 3/10 = 0.3 cm).

Step2: Calculate volume of underfill

The base of the container is 2.5 cm by 2.5 cm, and the height of underfill is 0.3 cm. Using the volume formula \( V = LWH \), where \( L = 2.5 \) cm, \( W = 2.5 \) cm, and \( H = 0.3 \) cm. So the volume of underfill (the additional water needed) is \( V = 2.5\times2.5\times0.3 \).
First, calculate \( 2.5\times2.5 = 6.25 \). Then, \( 6.25\times0.3 = 1.875 \) cubic centimeters.

Answer:

1.875