Questions

From Worst to Best

66 P5.VO.JM.17083114

Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.

3 m

Attempt

67 P6.VO.NK.17053171

Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release ¹₄ of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.

What is the length of Tank A?
How many m³ of water are there in Tank B?

3 m

Attempt

Volume of cuboid Height of cuboid Volume transfer Fraction of a whole

68 P6.VO.NK.17080919

Level 3
A tank, 110 cm by 100 cm by 70 cm, was completely filled with water. It was used to fill 16 bottles, each 3 litres in capacity. What was the height of the water left in the tank after all the bottles were filled. Round off to whole number.

3 m

Attempt

Volume of cuboid Height of cuboid Volume transfer W Round off Unit conversion

69 P5.VO.NK.23012637

Level 3
A cuboid has a volume of 300 cm³. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.

3 m

Attempt

Volume of cuboid Base area x height Area Perimeter Ratio to units Units method

70 P6.VO.NK.17080921

Level 3
³₄ of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?

3 m

Attempt

Volume of cuboid Volume of cube Volume transfer Fraction of a whole Unit conversion

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