PLEASE HELP I WILL MAKE YOU BRAINLIEST!!!!! A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.

What is the relationship between the volume of the rectangular prism and the rectangular pyramid?


(A) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.

(B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

(C) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.

(D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.

Answers

Answer 1

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.


Related Questions


what is the answer to this subtraction problem​

Answers

Answer:

i d k

Step-by-step explanation:

what is f?

(6f^2 - 9f + 10) - ( -2f^2 - f + 3)

So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -

(6f^2 - 9f + 10) + (2f^2 + f - 3)

Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)

Answer:
8f^2 - 8f + 7

Which one of the points A(5.2). B(6,-3) and C(4.7) is the mid-point of the other two? Check your answer by calculating two distances.​

Answers

Answer:

A is the midpoint

Step-by-step explanation:

Given

A(5.2) B(6,-3) and C(4.7)

Required

Which is the midpoint

Midpoint is calculated using:

[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

Testing A as the midpoint, we have:

[tex](5,2) = \frac{1}{2}(6+4,-3+7)[/tex]

[tex](5,2) = \frac{1}{2}(10,4)[/tex]

[tex](5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)[/tex]

[tex](5,2) = (5,2)[/tex]

The above equation is true. Hence, A is the midpoint of B and C

A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.

Answers

Answer:

(6, 687)

Step-by-step explanation:

10)
Which set of numbers is NOT in the solution set of the inequality x > 17?
A
(14, 15, 18, 25, 29)
B)
(18.21, 25, 27, 33)
D
(29.32, 35.40.55)

Answers

Answer:

a

Step-by-step explanation:

numbers all have to be greater than 17. 14 and 15 are both less than

Convert 96 ounces to pounds.
6 lb.
O4 lb.
10 lb.
5 lb
PLS HELP

Answers

Answer:

6 lb

Step-by-step explanation:

i took math lol

PS. plzzzz tell me if u got it right

Answer:

6 lb

Step-by-step explanation:

there are 16 ounces in one pound

96/16 = 6 lb

Have a nice day

What percentage is 20 of 92?

Answers

Answer:

21.72% is correct answer

Answer:

 

18.4

Step-by-step explanation:

If all entries of A and A^−1 are integers, prove that detA = 1 or −1.

Answers

A^-1 is actually 457

what is 190 × 180=7?

Answers

Answer:

34200 is not 7

false

Step-by-step explanation:

false 190 times 180 equals 34,200

ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN

Answers

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

See more about parallelogram at brainly.com/question/555467

Geometry Will give Brainlist

Answers

Direct answer :[tex]\color{plum}\boxed{\bold{\tt Statements :} } [/tex]segment AE and BD bisect each other. ∠BCA and ∠DCE are equal. Segment AC and segment CE are equal. Segment BC and segment CD are equal. △ACB≅△ECD

[tex]\color{plum}\boxed{\tt Reasons : }[/tex]Given. They are vertically opposite angles, so they are equal.The bisector BD divides segment AE into two equal parts which are Segment AC and segment CE.The bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.△ACB≅△ECD under the SAS congruence criterion because two sides and one included angle is equal.

Steps to derive these statements and reasons :

Given :

segment AE and segment BD bisect each other

Which means :

∠BCA and ∠DCE are equal because they are vertically opposite angles. Segment AC = segment CE because the bisector BD divides the segment AE into two equal parts which are segment AC and segment CE.segment BC and segment CD will be equal because bisector AE divides the segment BD into two equal parts which are segment BC and segment CD.

Since two sides and one included angle is equal △ACB≅△ECD under the SAS congruence criterion .

I need help with this please help me :(

Answers

Answer:

6 additional toppings

Step-by-step explanation:

14+1.75= 15.75

15.75+1.75=17.5

17.5+1.75=19.25

19.25+1.75=21

21+1.75=22.75

22.75+1.75=24.5

what single decimal multiplier would you use to decrease by 7% followed by a 20% decrease

Answers

Answer:

x 0.27

Step-by-step explanation:

if they are both decreasing then just add the two percentages together then divide by 100 to give you your decimal answer

It would be 0.27 :)


Hope it helped hehe

if the cost of a tv starts at 1 million in 1995 then jumps to 1.3 million in 1998. how much would the estimated cost be in 2021?

Answers

Answer:

3.6million

Step-by-step explanation:

See image for explanation (gotten from Chegg tutor)

Answer:

3.6 million

             _______

            /  (o)   (o)  \

          /      -___-     \

          -------------------

What two numbers have a sum of 142 and a difference of 16?​

Answers

Answer:

x=79,y=63 I have solve it in above picture

If x=5 then what is 3x+(2-4x). P.S. standard form

Answers

Answer:

-3

Step-by-step explanation:

3x+(2-4x)

3*5+(2-4*5)

3*5+(2-20)

3*5+(-18)

3*5-18

15-18

-3

3x + 2 - 4x
3x - 4x + 2
-1x + 2
-1(5) + 2

3(3x-6)-4(x+2) help me pleasw

Answers

Answer:

5x-26

Step-by-step explanation:

3(3x-6)-4(x+2)

Distribute the 3 and -4.

9x-18-4x-8

Combine like terms.

5x-26

Answer:

9x-18-4x-8

5x-26 ANS

Step-by-step explanation:3*3 = 9 and x is there

and - is their so - 3*6 = 18 = -18

and - is there so -4*x = -4x and + - = - so - 4*2= -8

Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?


A.(−3,−2)

B.(3,2)

C.(2,2)

D.(3,3)​

Answers

Answer:

B.(3,2)

Step-by-step explanation:

Point translated from A(1,2) to B(4,4).

This means that for x, we add 3 units(4 - 1 = 3), while for y, we add two units(4 - 2 = 2).

If a point C at (0,0) is translated in the same way, what will be its new endpoints?

0 + 3 = 3

0 + 2 = 2

So

B.(3,2)

What is the value of n when n = -4?

Answers

The answer is in your question.. figure it out!

Answer:

what the whole question

1) (35 + 17) + 43 = 35+ (17 + 43)

Answers

Answer:

95?

Step-by-step explanation:

−1/5(x−4)=−2
Solve for x

Answers

the answer would be x = 14

do 4 x + 15 + x have the same value when it's 5​

Answers

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

Find x. (The picture has the info)

Answers

Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?

Answers

Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

Question 1) Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x - 3y = 13, x + 2y = -4. ( I'll post a picture of the question and problem incase there's any confusion). Will Mark Brainliest.​

Answers

Answer:

x = 2 and y = -3

Step-by-step explanation:

The given equations are:

2x - 3y = 13 ...(1)

x + 2y = -4 ...(2)

Multiply equation (2) by 2.

2x + 4y = -8 ...(3)

Subtract equation (3) from (1).

2x - 3y-(2x + 4y) = 13-(-8)

2x-3y-2x-4y = 13+8

-7y = 21

y = -3

Put the value of y in equation (2).

x + 2(-3) = -4

x-6=-4

x = 6-4

x = 2

So, the solution of the given equations are x = 2 and y = -3.

if mia Khalifa was black what would her situation be

Answers

Answer:

i really don’t know

Step-by-step explanation:

that’s an interesting question

Answer:

i dont know but can we do rp on pad.let?

Step-by-step explanation:

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

Name the quadrant in which lies.
tan(theta)<0 , csc(theta)<0
The angle (theta) lies in which​ quadrant?

Answers

Answer:

Quadrant III  (Quadrant Three)

Find the measure of each missing angle. ​Subject: Geometry
Unit 5: Relationships in Triangles
Homework 1: Triangle Midsegments

Answers

Answer:

Q10

∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°

Q11

∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°

Measure of angles for figure 1:

∠1=36∠2=56∠3=124∠4=88∠5=36

Measure of angles for figure 2:

∠1=35∠2=145∠3=55∠4=125∠5=55

The angle is formed by two rays at a common point of the two rays.

For given figure 1:

∠1+144=180 (Sum of angles on same side of transversal is 180°)

∠1=180-144

∠1=36

∠5+144=180(Sum of angles on a line is 180°)

∠5=180-144

∠5=36

Similarly, ∠3=180-56

∠3=124

∠4+36+56=180(Sum of all angles of a triangle is 180°)

∠4=180-36-56

∠4=88

∠2+36+88=180

∠2=56

Thus, measure of angles for figure 1 are ∠1=36, ∠2=56, ∠3=124, ∠4=88, ∠5=36.

For given, figure 2:

∠1=35(Alternate angle on same side of transversal are equal)

∠2=180-35

∠5=180-35-90(Sum of all angles of a triangle is 180°)

∠5=55

∠4+55=180(Sum of angles on a line is 180°)

∠4=180-55

∠4=125

Similarly, ∠2=180-35(Sum of angles on a line is 180°)

∠2=145

∠3=180-35-90(Sum of all angles of a triangle is 180°)

∠3=55

Thus, measure of angles for figure 2 are ∠1=35, ∠2=145, ∠3=55, ∠4=125, ∠5=55

Learn more about angles, here:

https://brainly.com/question/14569348

#SPJ6

What is 1,000,000 written as a power with a base of 10?

Answers

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16

Answers

Answer:

B 4x^2-16

Step-by-step explanation:

The answer is 4x^2-16

Answer:

4x^2-16

hope it's helpful ❤❤❤❤

THANK YOU.

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