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Ivanshal [37]
3 years ago
14

The volume of a rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width, and height as the

prism. What is the volume of the pyramid?
Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

80 cubic centimetres

Step-by-step explanation:

The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.

Here, we know that the prism's volume is 240, so lwh = 240.

The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.

We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:

V = (1/3) * lwh

V = (1/3) * 240 = 80

The answer is thus 80 cubic centimetres.

<em>~ an aesthetics lover</em>

ValentinkaMS [17]3 years ago
5 0

Answer:

The volume of the pyramid is 80 cubic centimeters.

Step-by-step explanation:

As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.

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Answer: 2a+ay+2b+by


Step-by-step explanation:

(a+b)(2+y)

=(a+b)(2+y)

=(a)(2)+(a)(y)+(b)(2)+(b)(y)

=2a+ay+2b+by

=ay+by+2a+2b



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4 years ago
Sample of 3 items is selected at random from a box containing 20 items of which 4 aredefective. find the expected number of defe
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What is 76.32 plus 99.86<br>Divide the answer by 3?​
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58.7266666667

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3 years ago
Help me solve this please
LuckyWell [14K]

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Answer:

  shaded/square = (50π cm²)/(400 cm²) = π/8

Step-by-step explanation:

The quarter circle has area ...

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  A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²

Then the area of the shaded portion is ...

  shaded = 100π cm² -50π cm² = 50π cm²

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5 0
4 years ago
Before a bag of flour can be sold, it must be 40 kilograms but can be within 0.5
Serjik [45]

Answer:

The minimum acceptable weight of the flour bag is 39.5 kg,

and its maximum acceptable weight is 40.5 kg

Step-by-step explanation:

Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:

|x-40|\leq 0.5

The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:

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a) If x-40\geq 0 then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:

x-40\leq 0.5\\x\leq 0.5+40\\x\leq 40.5\,\,kg

which means that the weigh "x" of the flour bag should be smaller or equal than 40.5  kg

b) If x-40, then the absolute value of this is its opposite : -x+40, and the inequality becomes:

-x+40\leq 0.5\\40\leq 0.5+x\\40-0.5\leq x\\39.5\leq x

which means that the weight of the flour bag must be larger than or equal to 39.5 kg

So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg

6 0
3 years ago
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