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2 years ago

A rectangular prism has a base area of 14 in², and a height of 7 inches. What is the volume of the prism?

Mathematics

2 answers:

Brums [2.3K]2 years ago

8 0

Given Information :-

⠀

A rectangular prism, with dimensions,

Base area ( l x b ) = 14 in²
Height = 7 in.

⠀

To Find :-

⠀

The volume of the prism

⠀

Formula Used :-

⠀

$\qquad \star \: \underline{ \boxed{ \green{ \sf Volume = l \times b \times h }}} \: \star$

⠀

Here, we have already been provided with the base area that is the value of the product of length and breadth. Now, we just have to multiply the base area by height.

⠀

Solution :-

⠀

$\sf : \implies Volume =14 \: {in}^{2} \times 7 \: {in}^{} \\ \\ \\ \sf : \implies Volume = \underline{ \boxed{ \frak{ \orange{ {98 \: in}^{3} }}}} \: \star \: \: \: \: \: \: \: \: \\ \\$

Thus, the volume of the rectangular prism is 98 m³.

⠀

$\underline { \rule{227pt}{2pt}} \\ \\$

valentinak56 [21]2 years ago

4 0

Answer:

Step-by-step explanation:

14 x 7=98

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Answer:

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Step-by-step explanation:

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Each with probability:

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Ev = x₁*p₁ + ... +xₙ*pₙ

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Let's find the probabilities of these events.

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Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

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p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

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p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

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