A rectangular box is 16cm long and 10cm wide 960 1-cm cubes can fit into the box exactly what is the height of the box?

a rectangular swimming pool is 30m wide and 50m long if the 600m of water is added to the pool what is the increase in the height of the water level in centimeters?

16 * 10 * h = 960

Solve for h.

To find the height of the box, we first need to understand the concept of volume. The volume of a rectangular box can be calculated by multiplying its length, width, and height. In this case, we are given the length (16 cm) and width (10 cm), but we need to find the height.

Let's break down this problem step by step:

1. Determine the volume of each cube: Since each cube has dimensions of 1cm x 1cm x 1cm, the volume of each cube is 1 cubic centimeter.

2. Calculate the total volume of all the cubes: Multiply the number of cubes (960) by the volume of each cube (1 cubic centimeter). This gives us a total volume of 960 cubic centimeters.

3. Set up the volume equation: The volume of the rectangular box can be calculated by multiplying its length, width, and height. In this case, the length is given as 16cm, the width is given as 10cm, and the height is unknown.

Volume = Length × Width × Height

4. Solve the equation for the height: Substitute the given values into the equation and solve for height:

960 cubic centimeters = 16 cm × 10 cm × Height

Divide both sides of the equation by (16 cm × 10 cm):

Height = 960 cubic centimeters / (16 cm × 10 cm)

Height = 6 cm

Therefore, the height of the rectangular box is 6 cm.