APPLYING SCALE FACTOR TO AREA PERIMETER AND VOLUME WORKSHEET

(1)

Solution

(2)  

Solution

(3)  

Solution

(4)  In the given figure, the area of triangle BCD is 6.4 cm2. Find the area  of

(a)  Triangle ACE

(b)  Quadrilateral ABDE

Solution

(5)  Find

(a)  The value of x

(b)  The area of triangle PQT is given quadrilateral QRST has the area 22 m2     Solution

(6)  What will happen to the volume of 

(a) a sphere if the radius is doubled

(b)  A cylinder if the radius and the height are increased by 50% ?

Solution

Answer Key

(1)  14.16 m2

(2)  41.6 m2

(3)  8.47 m2

(4)  (a)   12.54 cm2   (b)  6.14 cm2

(5)  (a)  x  =  1.5 cm  (b)  17.6 m2

(6)  (a)  It is multiplied by 8

(b)  It is multiplied by 3.375

(1)  Two similar solids have side lengths in the ratio 2 : 5.

(a)  What is the ratio of their volumes ?

(b)  If the smaller shape has a volume of 100 mm3, what is the shape of the larger shape ?

(2)  Two similar solids have volumes of 20 m3 and 1280 m3. James says that the sides of the larger solids are 4 times as long as the sides of the smaller shape. Claire says that the sides are  8 times longer. Who is correct ?

(3)  Find the value of x and y and the measure of angle P.

(4)  Two polygons are similar. If the ratio of their perimeters is 3 : 4, find the ratio of the corresponding sides.

(5)  Two polygons are similar. If the ratio of the area is 100 : 49, find the ratio of their corresponding sides.

(6)  Two triangles are similar and the perimeter of the smaller one is 50. The ratio of the corresponding sides is 3 : 4, find the perimeter of the larger triangle.

(7)  2 triangles are similar and a side of the smaller one is 8. The ratio of the corresponding areas is 25:36, find the length of the corresponding side of the larger triangle.

Answer Key

(1)  (a)  8 : 125

(b)  1562.5 cm3

(2)  James is correct

(3) (a)  x  =  6, y  =  10.5 cm

(b)  86 degree.

(4)   3 : 4

(5)   10 : 7.

(6)   66.67

(7)   5 : 6

(1)  Triangle DEC has area 4.2 cm2.

a) Find the area of triangle ABC.

b) Find the area of quadrilateral ABED.

Solution

(2)  If triangle ABC has area 15 cm2:

a) find the area of ΔCDE

b) find the area of PQED.

Solution

(3)  What will happen to the volume of:

a) a sphere if the radius is doubled

b) a sphere if the radius is increased by 20%

Solution

Answer Key

(1)   (i)  9.45 cm2 (ii) 5.25 cm2.  (2)  (a)  9.6  (b)   28.8 cm2

(3)   (a)  8 x (4/3)πr(b)  1.728 x (4/3)πr3

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Quadratic Equation Word Problems Worksheet with Answers

    Oct 07, 22 12:25 PM

    Quadratic Equation Word Problems Worksheet with Answers

    Read More

  2. Problems on Quadratic Equations

    Oct 07, 22 12:20 PM

    Problems on Quadratic Equations

    Read More

  3. SAT Math Practice Worksheets

    Oct 07, 22 09:38 AM

    SAT Math Practice Worksheets - Topic wise worksheet with step by step explanation for each question

    Read More