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iris [78.8K]
2 years ago
14

A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of

the box change?
Mathematics
1 answer:
Blababa [14]2 years ago
3 0

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

<h3>How to determine the surface area</h3>

The surface area of a rectangular prism is:

S = 2 * (lw + lh + wh)

When quadrupled, we have:

S_2 = 2 * (16lw + 16lh + 16wh)

Factor out 16

S_2 =16 * 2 * (lw + lh + wh)

Substitute S = 2 * (lw + lh + wh)

S_2 =16 * 2 * S

The above means that:

The new surface area would be 16 times the initial surface area

Read more about surface areas at:

brainly.com/question/24571594

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