WORD PROBLEMS ON SIMILAR SOLIDS WORKSHEET

Problem 1 :

Triangles ABC and PQR are similar and the area of triangle ABC is 1.5 m². What is the area of triangle PQR?

Solution

Problem 2 :

Two spheres have surface areas of 201 cm² and 452 cm² respectively. Find the radius of the larger sphere.

Solution

Problem 3 :

The sides of a triangular stained glass window pane are 5 m, 6 m and 7 m. Another pane is similar to it with longest side 21 m. Find :

a) The scale factor b the lengths of the other two sides

c) The ratio of the areas of the two panes.

Solution

Problem 4 :

Two rectangular photographs are similar and one has area double the other.

a) What is the scale factor?

b) If the larger one is 20 cm by 10 cm, what are the dimensions of the smaller one?

Solution

Problem 5 :

Two circles are such that one has area three times the other.

a) What is the scale factor?

b) If the smaller circle has a circumference of 35.8 m, what is the circumference of the larger one?

Solution

Problem 1 :

Two soup cans are similar and have heights of 8 cm and 16 cm respectively. Cylinder A has volume 225 cm³.

Find : a) the ratio of their radii.

b) the volume of B.

Solution

The following contain similar solids. Find the unknown length or volume :

Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

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Consider the following similar shapes. Find

i) the scale factor

ii) the length or area marked by the unknown. 

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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