8th Grade Math (Math 8) · Chapter 9 · Lesson 9.4 · Printable PDF

Scale Factor, Area and Volume Worksheet with Answer Key

8 problems on scale factor, area and volume: area and volume factors, finding the scale factor from them, a triangular sign made of panels, a park on a plan, copies of designs, school signs, towers of sand, and soap bars. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Scale factor, area and volume worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
Page 1 of 2

Get this sheet

This sheetWorksheet and answer key, yours to keep.
$5
Buy
SubscriptionOpen any sheet in any course, up to 40 a month, keys included. Or $40 month to month.
$25/mo, billed yearly
Subscribe
Full Course Set370+ Math 8 PDF files, no limit, yours to keep.
$400once
Buy

Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

The full Math 8 courseEvery lesson in teaching order, with over 370 printables.See the course ›

What's on the worksheet

  1. Find the area factor and volume factor for each scale factor:
    k = 5k = \dfrac{1}{2}k = 0.2k = \dfrac{2}{3}k = 1.5
  2. Find the scale factor from the area or volume factor:
    area × 36area \times\, \dfrac{1}{25}volume × 125volume \times\, \dfrac{1}{8}area × 2.25
  3. Word problem: a large triangular sign made of small triangular panels.
  4. Word problem: the area of a city park on Samir's plan at a scale of 1 to 500.
  5. Word problem: the areas of scale copies of Layla's design.
  6. Compare the areas of three signs Amara makes for the school fair.
  7. Word problem: the weight and the pressure of Yuna's tower of wet sand at a larger size.
  8. Word problem: compare two sizes of soap bars of the same shape.

Teach it first

The free lesson teaches it with worked examples and practice problems.

Scale factor, area and volume: the lesson ›

More Chapter 9 worksheets: Dilations and similarity