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 dilatio

Question

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.

in progress 0
Thái Dương 2 weeks 2023-01-19T17:21:43+00:00 2 Answers 0 views 0

Answers ( 2 )

    0
    2023-01-19T17:23:28+00:00
    Jake needs an additional 42.5 cm³ of material to make the second prism.

    Amount of material available

    Since Jake has 900 cm³ of material and he uses 14.5 cm³ to make a right triangular prism. The amount of material available to make the second prism is V = 900 cm³ – 14.5 cm³
    = 885.5 cm³

    Scale factor

    Now, the second prism is gotten by ditaion of the first prism by a factor of 4.
    Since we have volume, (scale  factor)³ = volume of second prism/volue of first prism

    Volume of second prism

    So, volume of second prism, V’ = (scale factor)³ × volume of first prism = 4³ × 14.5 cm³ = 928 cm³

    Amount of material more needed

    So, the amount of material more needed to make the second prism is V”‘ = V’ – V = 928 cm³ – 885.5 cm³
    = 42.5 cm³
    So, Jake needs an additional 42.5 cm³ of material to make the second prism.
    Learn more about amount of material here:

    0
    2023-01-19T17:23:40+00:00
    Answer:
    42.5 cm³ for K12

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )