Question

Use the image to answer the question.

A cube with width labeled 6 centimeters, length labeled 5 centimeters, and height labeled 4 centimeters.

Imagine that a rectangular prism similar to the one shown has a scale factor of 1/2
. What is the volume of the new rectangular prism?

(1 point)
Responses

15 cm3
15 centimetres cubed

30 cm3
30 centimetres cubed

60 cm3
60 centimetres cubed

120 cm3

Answer 1

Original volume = 6 × 5 × 4 = 120 cm³. With linear scale factor 1/2, volume scales by (1/2)^3 = 1/8. New volume = 120 × 1/8 = 15 cm³.