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Volume or Surface Area?

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 31 of 60.

Volume and surface area answer different questions about the same solid. Volume is the space inside: how much water a tank holds. Surface area is the outside: how much paint it takes to cover it.

$A cube with edges of 2$

This cube has edges of 2. Its volume is $2\cdot 2\cdot 2 = 8$ cubic units, and its surface area is $6\cdot {2}^{2} = 24$ square units. Different units, different formulas, and you choose by the question: filling is volume, covering is surface area.

When you tap a solid, the board asks which of the two you want. Then pick the rule that matches.

Challenge

Find both the volume and the surface area of the box, then press Check.

Try it yourself

$Find the marked part of the figure$

Find the marked part of the figure

All lessons in Surface Area & Volume

1Volume of Prisms

Volume of a Cuboid Double Every Edge Volume of a Prism Any Triangle End A Missing Edge Recap: Prism Volume

4Pyramids

Volume of a Pyramid The Slant Height Height From the Slant Height From the Volume Recap: Pyramids

7Surface Area of Prisms

Nets and Surface AreaVolume or Surface Area?A Missing Edge Again Triangular Prisms The Hidden Side First Recap: Prism Surfaces

10Spheres Outside

Surface of a Sphere Surface of a Hemisphere Radius From the Surface Surface to Volume Recap: Spheres Outside

2Solids and Their Parts

Faces, Edges and Vertices Height or Slant Height?Recap: Parts of Solids

5Cones

Volume of a Cone A Third of a Cylinder The Slant of a Cone From Slant to Volume Recap: Cones

8Surface Area of Cylinders

Unrolling a Cylinder Height From the Surface Radius From the Surface Enough for the Volume?Recap: Cylinder Surfaces

11Mixed Solids

Solids From Solids A Spinning Top Which Lengths?Letters in the Lengths Recap: Mixed Solids

3Cylinders

Volume of a Cylinder Height From the Volume Radius From the Volume Enough to Find It?Recap: Cylinders

6Spheres and Hemispheres

Volume of a Sphere Half a Sphere Radius From the Volume Sphere in a Cylinder Recap: Spheres

9Pyramids and Cones Outside

Surface of a Pyramid Slant Height First Surface of a Cone The Cone: Slant First Recap: Pyramid Surfaces

12Final Challenges

Final: The Clay Cone Final: The Water Tank Final: The Model Pyramid Final: The Tent Final: The Paint Can