Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
What is the height of the water level from the base of the container?
How much more water in cm3 must be poured in so that the water fills up half of the top cube?
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
What is the height of the water level from the base of the container?
How much more water in cm3 must be poured in so that the water fills up half of the top cube?
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?
Level 3
A rectangular tank measuring 60 cm by 50 cm by 40 cm was filled with water to a height of 28 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 cm.
Find the volume of water in each jug in cubic centimetres.
How much more water would be needed to fill the tank completely? (Give your answer in litres.)
Level 3
A rectangular tank measuring 60 cm by 50 cm by 40 cm was filled with water to a height of 28 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 cm.
Find the volume of water in each jug in cubic centimetres.
How much more water would be needed to fill the tank completely? (Give your answer in litres.)
Level 3
Container A, measuring 25 cm by 12 cm by 21 cm, is filled with water to the brim. Container B is an empty rectangular container with a square base of edge 20 cm. After some water from Container A is poured into Container B, the height of water in the two containers is the same. Find the height of the water.
Level 3
Container A, measuring 25 cm by 12 cm by 21 cm, is filled with water to the brim. Container B is an empty rectangular container with a square base of edge 20 cm. After some water from Container A is poured into Container B, the height of water in the two containers is the same. Find the height of the water.
Level 3
Tank A is half-filled with water while Tank B is empty. Abby poured water from Tank A into Tank B without spilling until the water level in both tanks were the same. What is the volume of the water in Tank B now?
Level 3
Tank A is half-filled with water while Tank B is empty. Abby poured water from Tank A into Tank B without spilling until the water level in both tanks were the same. What is the volume of the water in Tank B now?
