what is the volume of a cube that has the following measurements (length 20.0 cm, width 152 mm, height 0.458 m)
Change the measurements to the same unit (say cm) then length x width x height = volume in cubic centimeters.
To find the volume of a cube, you need to multiply the length, width, and height together. However, before doing so, it's important to make sure all measurements are in the same units. In this case, you have measurements in centimeters (cm), millimeters (mm), and meters (m).
To simplify the calculations, you need to convert all measurements to the same unit. Let's convert all measurements to centimeters since it is the most frequently used unit provided in the question.
1 meter = 100 centimeters,
1 millimeter = 0.1 centimeters.
Converting the measurements:
- Length: 0.458 m = 0.458 x 100 = 45.8 cm
- Width: 152 mm = 152 x 0.1 = 15.2 cm
- Height: 20.0 cm (no conversion needed)
Now that all measurements are in centimeters, you can calculate the volume by multiplying them together:
Volume = Length x Width x Height
Volume = 45.8 cm x 15.2 cm x 20.0 cm
Now multiply these numbers to find the volume of the cube:
Volume = 13914.56 cm³
Therefore, the volume of the cube is approximately 13914.56 cubic centimeters.