A Missing Edge

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 5 of 60.

So far, you used the edges to find the volume. The rule also works backwards. A box holds 60 cubes, and its base is 5 by 4. The height is missing. Put the numbers into the rule.

$60 = 5\cdot 4\cdot h$

$60 = 20h$

$h = 3$

Check: $5\cdot 4\cdot 3 = 60$ .

Challenge

The box holds 84 cubes. One edge is x + 2. Find x.

Then press Check.

Try it yourself

$Use the figure to find x$

Use the figure to find x

All lessons in Surface Area & Volume

1Volume of Prisms

Volume of a Cuboid Double Every Edge Volume of a Prism Any Triangle EndA Missing EdgeRecap: 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 Area Volume 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