Question

PLEASE HELP EARN POINTS!!

1) A triangle with area 10 cm2 is dilated by a factor of 2.

What is the area of the dilated image?

_________ cm2

2) a pyramid with the volume of 1000 ft^3 is dilated by a factor of 1.5.
What is the volume of the scaled image?

3) A cylinder with the volume 22.8 mm^3 is dilated so that its new volume is 615.6mm^3.
By what factor was the cylinder dilated?

4) A sphere with volume 875in^3 is dilated by a factor of 1/5.
What is the volume of the scaled image?

Answer 1

Answer: i just want to confirm the answers of the other person are correct. and they are i took the test and those answers are right

1 is 40

2 is 3375

3 is 3

4 is 7 in^3

Explanation:

do not give me credit i just want to say that they are correct

Answer 2

1) 10 cm² dilated by a factor of 2. 10cm² x 2² = 10cm² x 4 = 40cm² area of the dilated image

2) 1000 ft³ dilated by a factor of 1.5 = 1000ft³ x 1.5³ = 1000ft³ x 3.375 = 3,375 ft³ volume of the scaled image

3) 615.6mm³ ÷ 22.8mm³ = 27 ⇒ ∛27 = 3 is the factor

4) 875in³ dilated by a factor of 1/5 = 875in³ x (1/5)³ = 875in³ x 1/125 = 875 in³ / 125 = 7 in³ volume of the scaled image