Mathematics, 02.08.2019 07:30 swagisminecraft

Juanita covered the outside of a giftbox shaped like a rectangular prism with paper. the box is 3.2 ft long 2.1 ft wide and 2.7 ft high. which of the following is closest to the total surface area of the box

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Answer from: slend3rpiggy

The answer is B.

Answer from: jhunruh6247

The surface area of a three dimensional object is equal to the sum of the areas of all the faces. Juanita has a box that is 3.2 x 2.1 x 2.7 ft. We can use this information to find the area of all the faces.

There will be two faces that are 3.2 x 2.1

There will be two faces that are 3.2 x 2.7

There will be two faces that are 2.1 x 2.7

So the following expression can be used to find the surface area:

2(3.2)(2.1) + 2(3.2)(2.7) + 2(2.1)(2.7)

The surface area is 42.06 ft^{2}

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

= 2×(-2)+(-8)×(6)+(-8)×(-5)

= -4-48+40

= -12

hence, v.w= -12

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Juanita covered the outside of a giftbox shaped like a rectangular prism with paper. the box is 3.2...