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# Three Geo Questions

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Ello, I just need three questions answered, that's all. Help much appreciated, thanks:)

1.A rectangle with an area of 4/7 m^2 is dilated by a factor of 7.What is the area of the dilated figure? Do not leave your answer as a fraction.

2.A prism with the base area of 8 cm^2 and a height of 6cm is dilated by a factor of 5/4. What is the volume of the dilated figure?

3.A prism with a volume of 875m^3 is scaled down to a volume of 448cm^3. What is the scale factor? Answer as a fraction or decimal in simplest form.

Guest Feb 20, 2017
#1
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1.A rectangle with an area of 4/7 m^2 is dilated by a factor of 7.What is the area of the dilated figure? Do not leave your answer as a fraction.

The area is increased by a square of the scate factor....so.....

(4/7) * 7^2  =

(4/7) * 49

(49/7) * 4  =

7 * 4  =

28 m^2

CPhill  Feb 20, 2017
#2
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2.A prism with the base area of 8 cm^2 and a height of 6cm is dilated by a factor of 5/4. What is the volume of the dilated figure?

The original volume will increase by a cube of the scale factor

Original volume  =  8 * 6  = 48cm^3

So

48 * (5/4)^3  =

[48 * 125] / 64  =

[48/64] * 125  =

(3/4) * 125  =

93.75 cm^3

CPhill  Feb 20, 2017
#3
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Call the scale factor, S  ....so...

448 * S^3  = 875

S^3  = 875/448

S^3  = 125 / 64       take the cube root of both sides

S  = 5/4

CPhill  Feb 20, 2017