The drawing shows a heart-shaped figure. The heart is composed of a square and two semicircles. The semicircles have the center
in the middle of two of the sides.
a) Set up a formula to calculate the area of the heart.
a) Set up a formula to calculate the area of the heart.
1 answer:
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The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is
Here x and y are the corresponding sides .
Let the volume of the smaller one be v
So for the smaller solid, volume is 272 . And the correct option is the first option .
a) Corresponding angles of similar figures are congruent, so
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is
c) Since the scale factor is 5/2,