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borishaifa [10]
3 years ago
15

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in. The prism is filled with cubes that have

edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, cubes are needed.
Mathematics
2 answers:
EastWind [94]3 years ago
4 0
<h3>Answer:</h3>

<u>Volume of rectangular prism = L × B × H</u>

  • 9 × 4 × 1.5
  • 54in³

Now,

<u>Volume of cube = a³</u>

  • 0.5 × 0.5 × 0.5
  • 0.125in³

So,

<u>No. of small cubes to be filled = 54in³/0.125in³</u>

  • 54/0.125
  • 432

<u>Hence, 432 cubes of edge 1/2 inches can be filled</u>.

sammy [17]3 years ago
3 0

Answer: 432 cubes

Step-by-step explanation:

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Una persona asegura que su casa tiene forma rectangular y que el perímetro de la misma es de 18 m y que además, su área es de 21
leva [86]

Considerando las fórmulas para el perímetro y el área de un rectángulo, hay que se chega en una <u>eccuación cuadrática sin solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

<h3>¿Cuál es la fórmula para el perímetro y el área de un rectángulo?</h3>

Considerando que las dimensiones son l y w, hay que:

  • El perímetro es: P = 2(l + w).
  • El área es: A = lw.

El <u>perímetro es de 18 m</u>, o sea:

2(l + w) = 18

l + w = 9

l = 9- w.

El <u>área es de 21 m²</u>, o sea:

lw = 21

(9- w)w = 21

-w² + 9 - 21 = 0

w² - 9w + 21 = 0

El discriminante es dado por:

D = 9² - 4 x 1 x 21 = -3.

El discriminante negativo implica que la <u>eccuación cuadrática no tiene solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

Puede-se aprender más a cerca de el perímetro y el área de un rectángulo en brainly.com/question/26475963

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4 0
2 years ago
What equation would you use to solve for x?
Brut [27]
I think you would use the equation 2x+1+33+90=180
3 0
3 years ago
For the inverse variation equation xy=k, what is the constant of variation,k, when x = -3and y=-2
const2013 [10]

Answer:

6

Step-by-step explanation:

xy=k

Value of k ; when ; x = - 3 and y = - 2

Put x = - 3 and y = - 2 into the equation :

(-3)(-2) = k

-3 * - 2 = k

6 = k

The constant of variation k = 6

8 0
3 years ago
Can help me complete this problem please :c
FrozenT [24]

Answer:

112.5 deg

Step-by-step explanation:

First we find the area of the entire circle.

A = pi * r^2

A = pi * (4 m)^2

A = 16pi m^2

The entire circle has area = 16pi m^2.

The sector has area 5pi m^2.

Now we find the fraction the area of the sector is of the entire circle.

fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125

The full circle has a central angle of 360 deg, the entire circle.

The measure of the central angle of the arc of the sector is the same fraction of the entire circle.

measure of sector angle = 0.3125 * 360 deg = 112.5 deg

4 0
3 years ago
Read 2 more answers
How to find the θ in this equation: tan(θ+16°)=1/tan(θ+60°) by using the trigonometric identities?thanks
DedPeter [7]

Answer:

\huge \theta  =7°

Step-by-step explanation:

tan( \theta + 16 \degree) =  \frac{1}{tan( \theta + 60 \degree) }  \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta  -  60\degree \\ \theta +\theta  = 30 \degree - 16\degree \\2 \theta  = 14 \degree  \\ \theta  =  \frac{14 \degree}{2}   \\   \huge \red{ \boxed{\theta  =7 \degree}}

7 0
3 years ago
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