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

(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.

(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

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