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A set designer is wrapping 2 boxes for stage props. She needs to reduce the size of 1 box by making each linear dimension 75% less. She used N in.2 of wrapping paper to cover the outside surface of the original box. How many square inches of wrapping paper will cover the outside surface of the smaller box?

Respuesta :

Answer:

The answer to the question is 9/16 N² in.

9/16 N square inches of wrapping paper will cover the outside surface of the smaller box.

Step-by-step explanation:

To solve the question, we note that the initial area of the wrapper is given by

a × a × 6 as the box has 6 sides

Therefore 6·a² = N² in. = The original are of the wrapper

When the size of the box is reduced  to 75 % we have

Side  of new wrapper = 0.75 × a = 3/4×a

Therefore the area is given by

3/4×a × 3/4×a × 6 = 9/16×a²×6 = 27/8 a²

Therefore the area to cover the box is (27/8)/6 N² = 9/16 N² or 0.5625 N² in.

Skycute102915

Answer:

(0.25) ^2 x N

Step-by-step explanation:

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