Skip to content
Philoid
Browse Saved
Back to chapter
Maths
21. Mensuration-II (Volumes and Surface Areas of a Cuboid and a Cube)
Home · Class 8 · Maths · Ref. Book · 21. Mensuration-II (Volumes and Surface Areas of a Cuboid and a Cube)
Prev
Next
Q3 of 77 Page 21

The areas of three adjacent faces of a cuboid are x, y, and z. If the volume is V, prove that V2 = xyz.

Given,


Areas of three faces of cuboid =


Let length of cuboid =


So,


=


=


=


Or we can write ,


=


If ‘V’ is volume of cuboid = V =


=


=


More from this chapter

All 77 →
1

Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.

2

If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that

4

A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.

5

Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.

Questions · 77
21. Mensuration-II (Volumes and Surface Areas of a Cuboid and a Cube)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved