Volume of a Rectangular Prism

How much will I hold?

A rectangular prism has 6 sides —opposite sides are equal and parallel

Volume is the amount of space inside a shape, measured in cubic units

Definitions

7 cm

4 cm

8 cm

Three measuresLength = 8 cmWidth = 4 cmHeight = 7 cm

Volume is how many cubes will fit into this rectangular prism.

Three measures in a rectangular prism

7 cm

4 cm

8 cm

Finding the Volume

1. l= 5 cm w = 4 cm h = 7 cm

2. Formula…

V = l · w · h V = 5 · 4 · 7 V = 140 cm³

7 cm

4 cm

8 cm

Now you try one!If we could melt all of the gold produced in the last 500 years and put it together into a box, the sides would be 16 m for length, 18 m for width and 15 m high. How much would it hold?

V = l · w · hV = 16 · 18 · 15

V = 4,320 m³ of gold