Scaling Principle Volume

A solid with volume 12 cubic units is dilated by a scale factor of 0.25. Find the volume of the dilated image.

• V = 0.19 units³

• V = 3 units³

• V = 2.23 units³

• V = 1.63 units³

A solid with volume 8 cubic centimeters is dilated by a scale factor of 2.5. Find the volume of the dilated image.

• V = 75 cm³

• V = 20 cm³

• V = 125 cm³

• V = 105 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

• k = 8

• k = 2

• k = 4

• k = 3

A cube has edge lengths of 3 meters. The cube is dilated by a scale factor of 0.5. Find volume of the dilated cube.

• V = 5.34 m³

• V = 27 m³

• V = 13.5 m³

• V = 3.38 m³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A cube has edge length 4 inches. Find the volume of the cube.

The cube is dilated by a scale factor of 0.25. Find the volume of the dilated cube.

• V(cube) = 64 in³, V(dilated) = 16 in³

• V(cube) = 64 in³, V(dilated) = 1 in³

• V(cube) = 1 in³, V(dilated) = 64 in³

• V(cube) = 1 in³, V(dilated) = 16 in³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A solid has a volume of 729 in³. That solid is dilated and has a volume of 11390.625 in³. What was the scale factor of the dilation?

• k = 2.5

• k = 2

• k = 3

• k = 2.75

A solid with volume 36 cubic units is dilated by a scale factor of 0.5. Find the volume of the dilated image.

• V = 7.8 units³

• V = 15.4 units³

• V = 18 units³

• V = 4.5 units³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A solid has a volume of 115 cm³. That solid is dilated and has a volume of 48.52. What was the scale factor of the dilation?

• k = 0.5

• k = 0.75

• k = 0.25

• k = 0.6