Advanced Mathematics Primary 5 Volume

A rectangular tank is 40 cm long, 25 cm wide and 30 cm tall. Water fills the tank to a height of 12 cm. A metal block of volume 3 000 cm³ is then fully submerged in the tank without any water overflowing. By how many centimetres does the water level rise?

A 3 cm
B 4 cm
C 6 cm
D 15 cm
Show Worked Solution

Worked Solution

Step 1: Find the base area of the rectangular tank. 40 × 25 = 1 000 cm² Step 2: The volume of the submerged block equals the volume of water displaced. Rise in water level = volume of block ÷ base area = 3 000 ÷ 1 000 = 3 cm The water level rises by 3 cm.

Correct answer: 3 cm

Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.

Start Free Trial — 7 Days Free