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3 years ago

How many cubes with side lengths of \dfrac14\text{ cm}

Mathematics

2 answers:

bogdanovich [222]3 years ago

5 0

Answer:

Step-by-step explanation:

Correct question

How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?

We know that,

Volume of a cube is s³

V = s³

Where 's' is length of side of a cube

Given that

The cube has a length of ¼cm, and a cube has equal length

s= ¼cm

Then, it's volume is

V = s³

V = (¼)³ = ¼ × ¼ × ¼

V = 1 / 64 cubic unit

V = 0.015625 cubic unit

Then, given that the volume of the prism to be filled is 4 cubic unit

Then,

As, we have to find the number if cubes so we will divide volume of prism by volume of one cube

Then,

n = Volume of prism / Volume of cube

n = 4 / 0.015625

n = 256

So, then required cubes to filled the prism is 256 cubes.

arsen [322]3 years ago

4 0

Answer:

135

Step-by-step explanation:

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What kind of angle is shown in the image below

GaryK [48]

ACUTE ANGLE.
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3 years ago

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Simplify.

yKpoI14uk [10]

$(-5p^4z^6u)^3$

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3 years ago

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What is the distance between (10, 6) and (-2, -3)

Helga [31]

Answer:

15 units.

Step-by-step explanation:

The distance between the points (x1, y1) and (x2, y2) is

√(x1-y1)^2 + (y1-y2)^2))

So here it is:

√(10- -2)^2 + (6- -3)^2)

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3 years ago

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Rom4ik [11]

Answer:

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3 years ago

Consider the following expression: (1 + x)^n. A) Use the Binomial Theorem to find the first four terms of this polynomial. B) Wh

sergiy2304 [10]

Given:

The expression: (1 + x)^n

The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.

The following formula is used:

(a + b)^n = nCk * a^(n-k) * b^k

we have (1 +x)^n,

where a = 1
b = x
let n = 4

First term, k = 1

4C1 = 4

first term: 4*(1^(4-1))*x^1

Therefore, the first term is 4x. Do the same for the next three terms.

2nd term: k =2
3rd term: k = 3
4th term: k = 4
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3 years ago