Volume and Scale Factor Problems

Volume and Scale Factor Problems

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the concept of dilation in geometry, focusing on calculating scale factors for volume and surface area changes. It explains how to determine the scale factor K by comparing new and original volumes or areas, using cube and square roots. The tutorial also includes graphing exercises to identify points on scale factor equations and practical applications like calculating wrapping paper needed for a box and resizing a flyer. Additionally, it covers calculating side lengths in a 45-45-90 triangle.

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the scale factor K if a solid with an original volume of 8 cubic units is dilated to a new volume of 216 cubic units?

2

3

5

4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a solid's volume changes from 8 cubic units to 1 cubic unit, what is the value of K?

1/5

1/4

1/3

1/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A solid's volume increases from 8 cubic units to 1000 cubic units. What is the scale factor K?

5

6

7

8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is on the graph if the volume of a solid is 7 cubic units and the scale factor is determined by the cube root of V/7?

(14,2)

(7,1)

(1,1)

(0,0)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the scale factor K if a solid's surface area changes from 8 square units to 512 square units?

6

8

7

9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a solid's surface area remains the same after dilation, what is the scale factor K?

3

1

0

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many rolls of wrapping paper are needed if a box's dimensions are tripled and originally required 1/8 of a roll?

1 and 1/8

1

1 and 1/2

1 and 1/4

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