To find the volume of an object, we count how many unit cubes fit within the object. This is how we measure 3-D objects. The following video will explain what a unit cube is as well as showing how to find the volume of an object.
Introduction to Volume
Video Source (05:27 mins) | Transcript
\(Volume = Length \times Width \times Height\)
Volume is 3 dimensional because we are using 3 dimensions or directions multiplied together to find the volume.
Real World Application
Just as things to the power of 2 are “squared,” things to the power of 3 are “cubed.” The number \(4^3\) is pronounced “four to the power of 3” or “four to the third power” or “four cubed.”
- Khan Academy: Introduction to Volume (7:50 mins; Transcript)
- Khan Academy: Volume with Unit Cubes (2:12 mins; Transcript)
- A wooden block has a length of 4 inches, a width of 4 inches, and a height of 4 inches. Find the volume of the wooden block. (Video Solution
- A rectangular swimming pool has a length of 20 ft, a width of 12 ft, and a depth of 6 ft. Find the volume of the swimming pool. (Solution
- A brick has a length of 20 cm, a width of 9 cm, and a height of 5 cm. Find the volume of the brick. (Solution
- A cardboard moving box measures 16 in. long, 10 in. wide, and 12 in. high. Find the volume of the moving box. (Solution
- A large rectangular fish tank is 3 m long and 1 m wide and has a height of 2 m. Find the volume of the fish tank. (Solution
- A small rectangular juice box has a length of 60 mm, a width of 40 mm, and a height of 105 mm. Find the volume of the juice box. (Video Solution
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