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India
Class IX

Similar Solids

Interactive practice questions

Consider the two similar rectangles shown in the figure.

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
2min

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

Easy
< 1min

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

Easy
< 1min

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
1min
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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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