Mathematics · Grades 5–8
Volume of two joined boxes
Add the volumes only when the boxes do not overlap.
The key idea
Add the volumes only when the boxes do not overlap.
V = l₁w₁h₁ + l₂w₂h₂
Worked examples
Two non-overlapping rectangular boxes measure 7×8×6 cm and 2×4×3 cm. Find their total volume in cm³.
336 + 24 = 360
360 cm³
Two non-overlapping rectangular boxes measure 10×2×7 cm and 9×5×7 cm. Find their total volume in cm³.
140 + 315 = 455
455 cm³
Try it yourself
Two non-overlapping rectangular boxes measure 12×2×3 cm and 7×2×7 cm. Find their total volume in cm³.
Two non-overlapping rectangular boxes measure 2×3×6 cm and 3×5×2 cm. Find their total volume in cm³.
Check your understanding
Answers and marking notes
- 170 cm³
72 + 98 = 170
- 66 cm³
36 + 30 = 66
Further reading and review references
These are reference links, not copied exercises, institutional endorsement or proof of independent review.
Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.