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lyudmila [28]
3 years ago
7

Not sure if i got this right?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Answer:

The effect it will have on the volume is;

The volume will be 8 times larger

Step-by-step explanation:

The dimensions of the given prism are;

The length of the prism, l = 5 in.

The breadth of the prism, b = 5 in.

The slant height of the prism,  = 4 in. by 5 in.

The height of the prism, h = 7 in.

The shape of the prism = Parallelepiped

The volume of a parallelepiped = Area of Base × Height of the prism

The base area of the parallelepiped = The length × Breadth of the parallelepiped

∴ The base area of the given parallelepiped = 5 in. × 5 in. = 25 in.²

The volume of the given parallelepiped, V₁ is found as follows;

V₁ = 5 in. × 5 in. × 7 in. = 25 in.² × 7 in. = 175 in.³

When a scale factor of 2 in applied to the dimensions of the prism, we have;

The new volume, V₂ =  2 × 5 in. × 2 × 5 in. × 2 × 7 in.

∴ V₂ = 2 × 2 × 2 × 5 in. × 5 in. × 7 in. = 8 × 5 in. × 5 in. × 7 in. = 8 × V₁

Therefore;

V₂ = 8 × V₁

The volume of the image of the object, V₂ after applying a scale factor of 2 is 8 times larger than the volume of the object, V₁.

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