Consolidation questions 1 · composite volume
Two cuboids are placed next to each other without overlap. Cuboid A measures 6 × 6 × 2 cm; B measures 2 × 4 × 5 cm. What is their combined volume?
Singapore Math 5A · Independent learning
Practice B — Chapter 8
Consolidation target: Consolidate unit cubes, missing dimensions, complex volume, and capacity.
Fresh problems from the immediately preceding lesson cluster. Show all work and attach correct units.
Consolidation questions
Consolidation questions 2 · composite volume
Two cuboids are placed next to each other without overlap. Cuboid A measures 5 × 8 × 2 cm; B measures 2 × 2 × 2 cm. What is their combined volume?
Consolidation questions 3 · volume capacity conversion
A container holds 500 cm³ of liquid. Express this capacity in milliliters and liters.
Consolidation questions 4 · volume capacity conversion
A container holds 3,250 cm³ of liquid. Express this capacity in milliliters and liters.
Consolidation questions 5 · partial tank capacity
A tank has internal base 28 cm by 15 cm and is 23 cm tall. Water fills 20 cm of its height. Find water capacity in mL and empty capacity in mL.
Consolidation questions 6 · partial tank capacity
A tank has internal base 37 cm by 24 cm and is 13 cm tall. Water fills 9 cm of its height. Find water capacity in mL and empty capacity in mL.
Representation and explanation
Use Consolidation Questions 1 and 2 above (not two questions of your choice). For Question 1 draw two nonoverlapping cuboids with independent volumes. For Question 2 draw two nonoverlapping cuboids with independent volumes. Label all quantities, include physical measurement units when they are part of the question, show which operation your model proves, and check the answers by an inverse calculation or a size estimate.