Measure composite solids
Practise online with Next and Previous buttons, worked explanations and a report of the questions to review.
Log in to continueDecompose solids for volume and identify only exposed faces for surface area.
One-question preview
Choose one answer
Try this sample, or continue to the online quiz for a practice set with Next and Previous buttons.
Two right rectangular prisms of dimensions 4×2×2 cm and 2×2×2 cm are joined without overlap. Find their combined volume.
Show worked steps
Answer: 24 cm³
- The volumes add because the solids do not overlap.
- First volume = 16 cm³; second = 8 cm³.
- Total = 24 cm³.
- 4 × 2 × 2 = 16.
- 2 × 2 × 2 = 8.
- 16 + 8 = 24.
This is a question from this topic’s quiz. Preview answers are not saved.
Scratchpad
Working out
Draw with a finger, pen or mouse, or type your working below.
Your working stays on this page. It is not submitted or saved, and clears when you leave or reload.
Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Decompose solids for volume and identify only exposed faces for surface area.
Read the official VCAA curriculum description (VC2M10M01)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10M01-C01Use a decomposition with no double-counted region.
- VC2M10M01-C02Count exposed surfaces once and remove joined faces.
- VC2M10M01-C03Analyse composite objects involving different solids and appropriate units.
- VC2M10M01-C04Apply and explain measure composite solids using calculate and explain each step.
- VC2M10M01-C05Apply and explain measure composite solids using read and connect representations.
- VC2M10M01-C06Apply and explain measure composite solids using build and check a model.
- VC2M10M01-C07Apply and explain measure composite solids using work backwards from what is known.
Learn with worked examples
Help with this topic
Skills in this topic
Traceable coverage
Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Add or subtract volumesUse a decomposition with no double-counted region.
- D02Exclude hidden joinsCount exposed surfaces once and remove joined faces.
- D03Calculate and explain each stepApply and explain measure composite solids using calculate and explain each step.
- D04Read and connect representationsApply and explain measure composite solids using read and connect representations.
- D05Build and check a modelApply and explain measure composite solids using build and check a model.
- D06Work backwards from what is knownApply and explain measure composite solids using work backwards from what is known.