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Cuboid Volume and Surface

Mensuration · Class VIII

Slide length, breadth and height to see volume and surface area.

5 cm
type a value
120
4 cm
type a value
120
3 cm
type a value
120
Live values
  • Volume60
  • Surface Area94
  • Diagonal7.0711
xy
  • Volume vs height (l, b fixed)

Formulas in this lab

  • Volume
    l b hl\,b\,h
  • Surface Area
    2(lb+bh+lh)2(lb + bh + lh)
  • Diagonal
    l2+b2+h2\sqrt{l^2+b^2+h^2}
Tip: With base fixed, volume grows linearly with height: V = l*b*h.

Frequently asked questions

▶What are the volume and surface formulas of a cuboid?

Volume is length times breadth times height: V = l*b*h. Total surface area is 2(lb + bh + hl). For a 5 cm by 4 cm by 3 cm box, V = 60 cubic cm and surface area = 2(20 + 12 + 15) = 94 sq cm.

▶How do I use the cuboid volume lab?

Slide l, b and h between 1 and 20 cm. The lab updates volume and surface area instantly. Try l = 10, b = 5, h = 2 to see V = 100 cubic cm and surface = 160 sq cm.

▶How do I calculate the volume of a tiffin box or a brick?

A standard Indian brick is roughly 19 cm by 9 cm by 9 cm, giving volume 19 * 9 * 9 = 1539 cubic cm or about 1.5 litres of mortar displaced. A tiffin lunch box of 15 cm * 10 cm * 5 cm holds 750 cubic cm or 750 ml. The lab lets you check any such shape.

▶Cube vs cuboid: how are they different?

A cube is a cuboid where all sides are equal (l = b = h). So a cube of side 4 has volume 4^3 = 64. The lab uses three sliders, so set all of them to the same number to see a cube. Otherwise you get a general cuboid like a brick or a book.