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Measurement
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India
Class IX

Similar Solids

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Practice

Interactive practice questions

Consider the two similar rectangles shown in the figure.

Two similar rectangles are oriented such that their longer sides are horizontal. The rectangle on the left is smaller and is labeled A. Rectangle A measures $6$6 cm in length and $3$3 cm in width. The rectangle on the right is larger and is labeled B. Rectangle B measures $12$12 cm in length and $6$6 cm in width.
a

Find the area of Rectangle A.

Area A = $\editable{}$cm2

b

Find the area of Rectangle B.

Area B = $\editable{}$cm2

c

What is the ratio of the area of Rectangle A to Rectangle B?

d

Is it true in this case that if the matching sides of two similar figures are in the ratio $m:n$m:n, then their areas are in the ratio $m^2:n^2$m2:n2?

True

A

False

B
Easy
2 min

Two similar parallelograms have matching sides whose lengths are in the ratio $7$7:$2$2. Find the ratio of their areas.

Easy
< 1 min

Two similar squares have areas in the ratio $16$16:$81$81. Find the ratio of the lengths of their matching sides.

Easy
< 1 min

Two similar parallelograms have sides in the ratio $2$2:$3$3. If the area of the larger parallelogram is $45$45 cm2, find the area of the smaller parallelogram.

Easy
1 min
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Outcomes

9.M.SAV.1

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.

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