1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olin [163]
3 years ago
12

Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and

the same height. The amount of sand Max used to build the Prism is how many times the amount used to build the Pyramid?
Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

l = length

w = width

h = height

Amount of sand used is the volume (V1) and it is calculated using;

V_1 = l * w * h

V_1 = lw h

Since the pyramid has the same base area and height as the prism, the its dimension would be:

l = length

w = width

h = height

Amount of sand used is the volume (V2) and it is calculated using;

V_2 = \frac{1}{3}*(lwh)

So, we have:

V_1 = lw h

V_2 = \frac{1}{3}*(lwh)

Substitute lwh for V1 in the second equation

V_2 = \frac{1}{3}V_1

Multiply both sides by 3

3 * V_2 = \frac{1}{3}V_1 * 3

3 * V_2 = V_1

Reorder

V_1 = 3 * V_2

V_1 = 3 V_2

<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>

You might be interested in
Solve this systems of equation word problem. please
agasfer [191]
2b+h = 4.82
b+2h = 3.70
multiply the second equation by 2:
2b + 4h = 7.40
subtract the first equation from it:
3h = 2.58
h = 0.86
5 0
3 years ago
Write the algebraic expression representing the length and width of Marliens house. Someone please tell me the process of how to
Katarina [22]
This is telling you to find out the dimensions of her house.
I suggest using mathpapa for each equation. It will show you how to solve it and then the answer. 
So for the top dimensions, put the following into mathpapa: (2x-10)+(x-2)+(.5x-4)+(x-2)
3 0
3 years ago
Read 2 more answers
Jaleesa bought two
Korvikt [17]

Answer:

Notebooks= 8.75

computer bags=74.95

Amount with tax = Approximately 89.559

7 0
3 years ago
Solve the inequality. <br><br>The solution is.... ​
MAVERICK [17]

Answer:

Step-by-step explanation:

-x - 6 > 21 - 28x

27x - 6 > 21

27x > 27

x > 1

8 0
3 years ago
Two piecewise functions are shown below. What is the value of
gizmo_the_mogwai [7]

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

3 0
2 years ago
Other questions:
  • An arithmetic sequence has t1 = 3, t2 = 10. Find tn, Sn.
    13·1 answer
  • From a deck of five cards numbered 2, 4, 6, 8, and 10, respectively, a card is drawn at random and replaced. this is done three
    5·1 answer
  • A car park charges a certain rate per hour before 3 pm, and a higher rate per hour
    10·1 answer
  • What fraction is equivalent to 4 over negative 9
    6·1 answer
  • The value of your quarters (in cents) is a function of , the number of quarters you have. Write an equation that represents this
    10·1 answer
  • QUICKLY PLEASE<br> Find the value of x. Round your answer to the nearest tenth.
    12·1 answer
  • The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what a
    13·1 answer
  • Write an equation for a parabola that has a vertex (1, 2) and passes through the point (3, -6).
    7·1 answer
  • 10
    11·2 answers
  • 18cn - 18a + 12d - 20d + 19d - 20cn - 5a + 20cn - 17a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!