Wendy made two rectangular prism jewelry boxes, one small and one large. the dimensions of the large jewelry box are three times the dimensions of the small jewelry box. if the surface area of the small jewelry box is 79 cm2, what is the surface area of the large jewelry box? a. 474 cm squares b. 237 cm squared c. 711 squared d. 2,133 cm squared

C

Step-by-step explanation:

The scale factor is a quantity that "scales" another quantity.

Since, the dimensions of large is "3 times" that of the smaller box, the scale factor is 3.

This means, that we can multiply any dimension (length, width, or height) of the small box by 3 to get respective dimension of large box.

Remember, to get area, we need to multiply by scale factor squared. To get volume, we need to multiply by scale factor cubed.

Since, surface area is given of smaller box, we need to multiply by scale factor squared (3^2 = 9) to get surface area of larger box.

Hence, 79 * 9 = 711 cm^2

C is the correct answer.

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step-by-step explanation:

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation: