Finding a Missing Dimension
Finding a missing dimension is a Grade 6 geometry skill in Big Ideas Math Advanced 1, Chapter 8: Surface Area and Volume. Students rearrange area or volume formulas to solve for an unknown length, width, or height when the area or volume and some dimensions are known.
Key Concepts
When the volume and two dimensions of a rectangular prism are known, the missing dimension can be found by rearranging the volume formula: $V = lwh$. Solve for the unknown dimension by dividing the volume by the product of the known dimensions.
Common Questions
How do you find a missing dimension of a shape in Grade 6?
Set up the area or volume formula, substitute the known values, and solve for the missing dimension. For example, if Area = base x height and A = 48 with base = 8, divide 48 by 8 to get height = 6.
What is an example of finding a missing dimension using area?
If a rectangle has an area of 36 square inches and a width of 4 inches, use A = l x w to get 36 = l x 4, then divide both sides by 4 to find l = 9 inches.
How do you find a missing height given the volume of a prism?
Use the volume formula V = l x w x h, substitute the known values, then divide both sides by the product of the known dimensions to solve for h.
Where is this skill covered in Big Ideas Math Advanced 1?
Finding a missing dimension is taught in Chapter 8: Surface Area and Volume of Big Ideas Math Advanced 1, the Grade 6 math textbook.