A rectangular drainage tank at an HDB estate measures 75 cm long and 40 cm wide. Water fills the tank to a height of 20 cm. A solid metal block measuring 30 cm × 20 cm × 15 cm is then fully submerged in the water. What is the new height of the water after the block is submerged?
Show Worked Solution
Worked Solution
Step 1: Find the volume of water initially in the tank:
Volume of water = 75 × 40 × 20 = 60 000 cm³
Step 2: Find the volume of the solid metal block:
Volume of block = 30 × 20 × 15 = 9000 cm³
Step 3: Find the total volume (water + block) in the tank:
Total volume = 60 000 + 9000 = 69 000 cm³
Step 4: Find the new height of water using the full tank base area:
Base area of tank = 75 × 40 = 3000 cm²
New height = 69 000 ÷ 3000 = 23 cm
Correct answer: 23 cm
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free