Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
Level 3
It takes Faucet X 15 minutes to fill a tank measuring 14 cm by 8 cm by 12 cm completely while it takes Faucet Y only 10 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.
Level 3
A rectangular tank measuring 25 cm by 20 cm by 16 cm is half filled with water. If 3 identical cubes each measuring 10 cm by 10 cm by 10 cm are placed inside the water, find the new height of the water level.
Level 3
Figure A shows a rectangular container filled with some water and 8 identical blocks. The base area of the rectangular container is 448 cm2. Figure B shows the same container being turned upright. Find the volume of water in the container.
Level 3
Figure A shows a rectangular container filled with some water and 8 identical blocks. The base area of the rectangular container is 448 cm2. Figure B shows the same container being turned upright. Find the volume of water in the container.
Level 3
Becky filled a rectangular container which had a base area of 40 cm2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
What was the length of each side of the metal cube?
After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
