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vovangra [49]
3 years ago
13

ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?

A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Mathematics
2 answers:
Lyrx [107]3 years ago
5 0

Answer:

  • 64 in³

Step-by-step explanation:

<u>Given dimensions:</u>

  • l = 8 in
  • w = 2 in
  • h = 4 in

<u>Volume of the prism is:</u>

  • V = lwh
  • V = 8*2*4 = 64 in³
Snezhnost [94]3 years ago
4 0

Answer:

64(in)^{3}

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

(lenght) \times (width) \times (height)

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

8 \times 2 \times 4

Multiply 8 by 2.

16 \times 4

Multiply 16 by 4.

64 {in}^{3}

Hence, the volume of the rectangle prism is 64(in)³.

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Using a six-sided die, you have rolled a 6 on each of four successive tosses. What is the probability of rolling a 6 on the next
ollegr [7]

Answer:

The probability of rolling a 6 on the next toss = 1/6

Step-by-step explanation:

Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.

To find - What is the probability of rolling a 6 on the next toss?

Proof -

As the outcomes of previous rolls do not affect the outcomes of future rolls.

And there is one desired outcome and six possible outcomes.

So,

The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.

So,

The answer is -

The probability of rolling a 6 on the next toss = 1/6

8 0
3 years ago
Please help me do this one complicated and confused
IrinaK [193]

Answer:

9

Step-by-step explanation:

Area of a triangle=(base*height)/2

1) Input the values

54=(12h)/2

2) Multiply both sides by 2

54*2=(12h/2)2

108=12h

3) Divide both sides by 12

108/12=12h/12

9=h

I hope this helps! Please comment if you have any questions.

3 0
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Name the set(s) of numbers to which -10 belongs.
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the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. what is the coefficient of the squared term i
timama [110]
We know that

case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.

Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1

Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1

the answer is
a=1/9


case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h, 
where (h, k) is the vertex.

Using our vertex, we have:
x=a(y+1)²+2, 
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2

the answer is
a=3

see the attached figure 

3 0
3 years ago
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