Exploring Volume and Surface Area of Similar Shapes

What is the length of shape A?

• 4 cm

• 60 cm

• 10 cm

• 2.5 cm

By what factor does the length of shape B exceed shape A?

• 15.625 times

• 2.5 times

• 4 times

• 10 times

What is the volume scale factor when converting from shape A to shape B?

• 2.5

• 6.25

• 15.625

• 60

What is the new volume of shape B?

• 937.5 cm³

• 240 cm³

• 150 cm³

• 60 cm³

What is the surface area of shape B?

• 60 cm²

• 200 cm²

• 32 cm²

• 270 m²

What is the area scale factor used for converting the surface area from shape B to shape A?

• 2.5

• 6.25

• 15.625

• 60

What is the surface area of shape A after applying the area scale factor?

• 200 cm²

• 270 cm²

• 937.5 cm²

• 32 cm²

If the length scale factor is 2.5, what would be the area scale factor?

• 6.25

• 2.5

• 15.625

• 60