Which of the following two containers would carry more water? A square box with sides of 200 mm each. A rectangular box with sides of 80 mm each and a length of 800 mm.

The rectangular box with sides of 80 mm each and a length of 800 mm would carry more water.

To calculate the volume of each container, we use the formula V = lwh, where l is the length, w is the width, and h is the height.

For the square box:
V = (200 mm)(200 mm)(200 mm) = 8,000,000 mm^3

For the rectangular box:
V = (80 mm)(80 mm)(800 mm) = 512,000 mm^3

Therefore, the rectangular box would carry more water.

Solution

The volume of the square box is $$V_s = 200^3=8,000,000 \text{ mm}^3$$

The volume of the rectangular box is $$V_r=80\times80\times800=512,000,000 \text{ mm}^3$$

Therefore, the rectangular box would carry more water.