A prism has total surface area of 360 m2 and volume of 60 m3.

If the length, width, and height are reduced to half their original sizes, what will be the following?

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What following?

I'ma do it!

To find out what the following measurements will be when the length, width, and height of the prism are reduced to half their original sizes, we need to understand the relationship between the original measurements and the resulting measurements when the prism is scaled.

When dimensions are scaled by a factor of k, the surface area is multiplied by k^2, and the volume is multiplied by k^3.

In this case, since we are reducing the dimensions to half their original sizes, the scaling factor k is 1/2.

1. Surface Area:
The original surface area is given as 360 m^2. To find the new surface area after reducing the dimensions, we multiply the original surface area by the scaling factor squared.
So, the new surface area will be (360 m^2) * (1/2)^2.

Calculating this, we get:
New surface area = 360 * (1/4) = 90 m^2.

Therefore, the new surface area of the prism, when the length, width, and height are reduced to half their original sizes, will be 90 m^2.

2. Volume:
The original volume is given as 60 m^3. To find the new volume after reducing the dimensions, we multiply the original volume by the scaling factor cubed.
So, the new volume will be (60 m^3) * (1/2)^3.

Calculating this, we get:
New volume = 60 * (1/8) = 7.5 m^3.

Therefore, the new volume of the prism, when the length, width, and height are reduced to half their original sizes, will be 7.5 m^3.

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