Jake has 900 cm³ of material. He uses 14.5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4.

How much more material does Jake need in order to make the second prism?

Select from the drop-down menu to correctly complete the statement.

Jake needs an additional (13.5, 28, 42.5)

cm³ of material to make the second prism.

42.5 cm³of material to make the second prism.## Amount of material available

V= 900 cm³ – 14.5 cm³= 885.5 cm³## Scale factor

(scale factor)³= volume of second prism/volue of first prism## Volume of second prism

volume of second prism, V’ = (scale factor)³ × volume of first prism= 4³ × 14.5 cm³ = 928 cm³## Amount of material more needed

V”‘ = V’ – V= 928 cm³ – 885.5 cm³= 42.5 cm³42.5 cm³of material to make the second prism.amountofmaterialhere:Answer:42.5 cm³ for K12