166k views
4 votes
Which of the following is an accurate conversion of liquid to solid volume?

one liter equals one cubic meter
1000 milliliters equal one cubic meter
1000 liters equal one cubic meter
one liter equals 1000 cubic meter

2 Answers

5 votes

Final answer:

The accurate conversion of liquid to solid volume is that 1000 liters equal one cubic meter. This is because 1 liter is equal to 1000 cubic centimeters, and there are 1000 liters in a cubic meter.

Step-by-step explanation:

The correct conversion of liquid to solid volume among the options provided is that 1000 liters equal one cubic meter. To understand why, we can consider linear dimensions and their cubed equivalents. One liter is defined as the volume of a cube that measures 10 cm (or 1 decimeter, dm) on each side. Since volume is calculated by multiplying length by width by height, this cube's volume would be 10 cm × 10 cm × 10 cm = 1000 cubic centimeters (1000 cm³). In terms of cubic meters, since a cubic meter (m³) is the volume of a cube that measures 1 meter (100 cm) on each side, we can determine that there are 100³ or 1,000,000 cm³ in 1 m³. Therefore, 1000 liters, each being equivalent to 1000 cm³, would collectively make up one cubic meter (1000 × 1000 cm³ = 1,000,000 cm³, which is 1 m³).

User Majurageerthan
by
8.9k points
4 votes
wut... 1 deciliter is 1 cubic meter. That's 10 centiliter, and that's then 100 millilitres. 0.1 meter is 1 cubic meter...
User Parthasarathi
by
7.5k points