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2 years ago

Find the total number of unit cube that fill the entire prism

Mathematics

1 answer:

Nonamiya [84]2 years ago

3 0

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

Width= 3

Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= $length\times width\times height$

Volume of prism= $6\times 3\times 4= 72$

∴ 72 units of cube can fill the entire prism.

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A rectangle has an area of 63 square yards and a width of 3. 5 yards. What is the length, l, of this rectangle? l = 9 yd l = 18

LuckyWell [14K]

Answer:

18 yards

Step-by-step explanation:

Rectangle area = Length (L) x Width (W)

63 yd^2 = L*W

63 yd^2 = L*(3.5 yd)

L = 18 yards

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2 years ago

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A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 30,000 ft. The pilot would like to

Maurinko [17]

Answer:

X = 33,669.78 ft

Y = 15285.76 ft

Step-by-step explanation:

Given data:

let x be the distance btwn arch and plane

and y be the distance btwn ground point and arch y

we know that

$cos\theta = \frac{adjacent}{hypotaneous}$

$cos(27) = \frac{30,000}{x}$

xcos27 = 30000

$x = \frac{30000}{cos 27}$

x = 33,669.78 ft

b) we knwo that

$tan \theta = \frac{opposite}{adjacent}$

$tan 27 = \frac{y}{30000}$

y = tan(27) (30000)

y = 15285.76 ft

8 0

3 years ago

Which expression is equivalent to - 19 - (- 27)

HACTEHA [7]

Answer:

Step-by-step explanation:

-19 - (-27)

-19 + 27

i dont know if this is what you needed, but um yea lol

3 0

3 years ago

Name an event that has a probability of 2/7

damaskus [11]

Answer:

2/7

Step-by-step explanation:

7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?

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2 years ago

Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

Andrej [43]

The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

y = –3x^2 – 12x – 2
y + 2 = –3(x^2 + 4x)
y + 2 -12 = –3(x^2 + 4x + 4)
y - 10 = -3(x+2)^2

Therefore, the answer is the first option.

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3 years ago

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