Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
What is the height of each block?
Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
What is the height of each block?
Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
Level 3
The diagram shows a container made of some identical sections. Figure A shows one section of the container. When 5828 cm3 of water was poured into the container, find the water level in the container.
Level 3
The diagram shows a container made of some identical sections. Figure A shows one section of the container. When 5828 cm3 of water was poured into the container, find the water level in the container.
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
the volume of the pail.
the minimum number of such pails to fill the tank.
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3
In the diagram not drawn to scale, Tank J and Tank K each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank J measures 134 cm by 42 cm by 137 cm. Tank K measures 55 cm by 21 cm by 68 cm. Tank L is 69 cm by 20 cm by 26 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank J is completely filled with water and both buttons are pressed, what will be the final water level in Tank L?
Level 3
In the diagram not drawn to scale, Tank J and Tank K each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank J measures 134 cm by 42 cm by 137 cm. Tank K measures 55 cm by 21 cm by 68 cm. Tank L is 69 cm by 20 cm by 26 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank J is completely filled with water and both buttons are pressed, what will be the final water level in Tank L?
Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm2 and the base of B has dimensions as shown. A contained 750 cm3 of water and B was empty.
What was the height of the water level in A?
Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?
Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm2 and the base of B has dimensions as shown. A contained 750 cm3 of water and B was empty.
What was the height of the water level in A?
Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
What is the height of water in the tank now?
It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
What is the height of water in the tank now?
It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
