MATHEMATICS MIDDLE SCHOOL

The volume of a rectangular prism is 336 cubic centimeters. The area of the base of the prism is 48 square centimeters. What is the height of the prism?

Answers

Answer 1

Answer:

The volume of a rectangular prism is 336 cubic centimeters. The height of the prism is 21 centimeters.

How to find the volume and base area of a right rectangular pyramid?

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units,

then:

$v = (l * w * h)/(3) \: \rm unit^3$ is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

$b = l * w\: \rm unit^2$

The volume of a rectangular prism is 336 cubic centimeters.

$v = (l * w * h)/(3) \: \rm unit^3$

3 x 336 = lwh

lwh = 1008

The area of the base of the prism is 48 square centimeters.

48 x h = 1008

h = 21

Learn more about the right rectangular prism here:

brainly.com/question/27234847

#SPJ2

Answer 2

Answer:

Answer:

Step-by-step explanation:

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In a chess match, a win counts as 1 point, a draw counts as 0.5 point, and a loss counts as 0 points. After 21 games between the two players, the winner was 8 points ahead of the loser. How many points did the winner have?PLS HELP
it kitchen sink holds 24 gallons of water a full sink drain at 3 gallons per minute which of the following table best represents the situation
chad has two pieces of wood. one piece is 7/12 foot long. second is 5/12 foot longer than forst. how long is second piece
5+(x−11)=5x−14. What is x?

Simplify each expression

2x+5y+7x=

Answers

you add 2x and 7x to get 9x
so the answer is 9x+5y

the lions won 16 games last year. this year the lions won 20 games. what is the percent increase in number of games the lions won from last year to this year?

Answers

last year won the lions 16 games last year and into this year the Lions won 20 games.

as the percentage increase is:

20/16

(20/4) / (16/4)

5/4

1.25 (125%)

Answer: the percent increase is 25%

Step-by-step explanation:

lets 16 games are 100% - in last year

so 20 games are x%

make proportion and find x=20*100/16=125% - in this year

125-100%=25%

Answer: the percent increase is 25%

What are all the roots of x2-4x+29=0

Answers

To solve a quadratic equation in the form $ax^2+bx+c=0$ you can use the quadratic formula:

$x_(1,2) = (-b\pm√(b^2-4ac))/(2a)$

In your case, the equation $x^2-4x+29=0$ is identified by the coefficient choice $a=1,\ b=-4,\ c=29$ , so the solving formula becomes

$x_(1,2) = (4\pm√(16-116))/(2) = (4\pm√(-100))/(2)$

As you can see, we have a negative number under a square root, an operation impossible to perform using real numbers. So, this equation has no real solutions.

Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?A. y-6=-1/3(x-2)
B. y-2=1/3(x-6)
C. y-2=3(x-6)
D. y-6=-3(x-2)
E. y-2=-3(x-6)

Answers

Answer:

$\boxed{\text{C. } y - 2 = 3(x - 6)}$

Step-by-step explanation:

The slope of the perpendicular line m₂ must be the negative reciprocal of the slope m₁ of the first line.

$m_(2) = -(1)/(m_(1)) = -(1)/(-(1)/(3)) = 3$

The only equation with m = 3 is

$\boxed{\textbf{C. } y - 2 = 3(x - 6)}$

This is the point slope form of the equation for a straight line through (6, 2) with slope = 3.

Answer:

Step-by-step explanation:

$( - 1)/(3) * a = -1$

then

$a = 3 \: where \: a \: is \: our \: line \: slope$

One third of a number t is equal to 7

Answers

Set up the following equation;
(1/3)t=7
Multiply 3 by each side to get rid of 1/3;
t=21
Hope this helps.

You are wrapping a gift with the dimensions shown below. What is the least amount of wrapping paper you need?

Answers

that's a wierd gift

find surace area

2 identical side rectangle
2 identical end triangle
1 bottom rectangle

area of trialge=1/2bh
aera of rectangle=legnth tiems width

2 side rectangles are 5 by 10=50
times 2 since 2 of them 50*2=100

end triangles
1/2 times 8 times 3=12
2 of them
12 times 2=24

bottom
8 by 10
80

add everybody

100+24+80=204 in^2

Answer:

Step-by-step explanation:

find surace area2 identical side rectangle2 identical end triangle1 bottom rectanglearea of trialge=1/2bhaera of rectangle=legnth tiems width2 side rectangles are 5 by 10=50times 2 since 2 of them 50*2=100end triangles1/2 times 8 times 3=122 of them12 times 2=24bottom8 by 1080add everybody100+24+80=204 in^

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