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3 years ago

What is the answer to this question

Mathematics

2 answers:

julsineya [31]3 years ago

7 0

Step-by-step explanation:

here's the answer to your question

user100 [1]3 years ago

7 0

Answer:

x = 45. the option is C

Ihope its right

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3 years ago

An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and tur

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24 feet

Step-by-step explanation:

We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.

We have to find the dimensions of the sheet metal

Let x feet be the side of square metal sheet

Length of box=x-12 feet (because 6 feet removed from each corner)

Width of box=x-12 feet

Height of box=6 feet

Volume of box=864 cubic feet

We know that volume of cuboid= $l\times b\times h$

Box is in cuboid shaped

Therefore, volume of box= $6(x-12)(x-12)$

$6(x^2-24x+144)=864$

$x^2-24x+144=\frac{864}{6}$

$x^2-24x+144=144$

$x^2-24x+144-144=0$

$x(x-24)=0$

Then , $x=0 , x-24=0$

$x=24$

x=0 is not possible because side of square metal sheet can not be zero

Therefore, x=24

All sides of square metal sheet are equal.

Hence, side of square metal sheet =24 feet

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4 years ago