SSS3 Maths QUIZ 20.4- AREAS AND VOLUMES OF SIMILAR SHAPES

If two shapes are similar, their corresponding angles are:

A) different

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B) equal but not proportional

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C) complementary

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D) equal

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The ratio of areas of two similar shapes is the square of the ratio of their:

A) volumes

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B) perimeters

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C) corresponding lengths

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D) angles

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Two similar rectangles have sides in the ratio \( 2:3 \). What is the ratio of their areas?

A) 2:3

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B) 4:9

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C) 3:2

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D) 9:4

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If two cubes are similar and the ratio of their edges is \( 1:2 \), what is the ratio of their volumes?

A) 1:4

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B) 1:8

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C) 1:6

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D) 1:9

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If the side of a square is doubled, its area becomes:

A) doubled

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B) tripled

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C) four times larger

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D) unchanged

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The volume of two similar cones are in the ratio \( 8:27 \). What is the ratio of their corresponding heights?

A) 2:3

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B) 4:9

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C) 1:2

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D) 3:4

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Two similar cylinders have radii \( 3 \) cm and \( 6 \) cm. What is the ratio of their volumes?

A) 1:2

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B) 1:3

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C) 1:8

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D) 1:4

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The area of one similar shape is \( 16 \) cm\(^2\) and the other is \( 64 \) cm\(^2\). What is the ratio of their corresponding lengths?

A) 1:2

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B) 1:2

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C) 2:4

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D) 4:8

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If the height of a cone is increased by a factor of \( 3 \) and all dimensions remain similar, the volume increases by a factor of:

A) 6

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B) 9

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C) 27

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D) 12

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Two spheres are similar, and their radii are in the ratio \( 2:5 \). What is the ratio of their surface areas?

A) 2:5

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B) 4:25

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C) 4:25

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D) 8:15

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