AREA VOLUME OF SIMILAR SHAPES WORKSHEET

For each pair of similar figures, find the unknown area.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 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

Problem 5 :

Find

(a)  The value of x

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

Solution

Problem 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

Answers :

(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

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