Problem: Fish Tank Teaser Grade Level: 5th Grade Envisions Connection: Chapter 10 Content Standards: 5.MD.5.b Apply the formulas V =1 xwxh and V = 5 x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving seal world and mathematic problems. Part1: Anna loves fish and has a rectangular prism shaped tank in her room. She keeps the tank in her room against a wall that is only 6 feet long. The tank is also 6 feet long, so it takes up the entire length of Anna's wall. Her tank is 3 feet tall and 2 feet wide. Find the volume of Anna's tank below. Show all of you work.

Part 2: Today Anna's cousin dropped off some new fish. She now needs a tank that has a volume three times greater than her old tank so the new fish have enough space to swim. She cannot buy a longer tank because it will not fit against the wall. Design a tank for Anna that has three times the volume of her old tank but still fits against her 6 foot long wall. Show all of your work. If you can, design more than one tank that will solve Anna's problem!​

the answer is 62.8 cubic units

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:

one peck is 9.309 quarts

9.309x 2

true

step-by-step explanation:

intersecting chords are just lines that intersect. so a line is equal to 180 degrees, so when it is intersected by another chord, then it create supplementary angles, and because the lines cross, vertical angels are also formed.