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
Evaluate g(x)=3x when x= -2,0,and 5 g(-2)=? g(0)=? g(5)=?
serious [3.7K]

Answer:

g(-2) = -6

g(0) = 0

g(5) = 15

Step-by-step explanation:

For each of the evaluations, you have to plug in the number everywhere where there is an x

6 0
3 years ago
Find the inverse of each of the given functions.
Leona [35]

Answer:

The inverse of the function is (3x+4)/2

Step-by-step explanation:

To find the inverse, exchange x and y and then solve for y

y = (2x-4) /3

Exchange x and y

x = (2y-4)/3

Solve for y

Multiply each side by 3

3x = (2y-4)/3 *3

3x =2y-4

Ad 4 to each side

3x+4 = 2y-4+4

(3x+4) =2y

Divide each side by 2

(3x+4)/2 =2y/2

(3x+4)/2 = y

The inverse of the function is (3x+4)/2

6 0
2 years ago
Read 2 more answers
Write the equation of the line MN, which is formed by the points M(-3,5) and N(2,0)
belka [17]
The equation is <span>y = -x + 2</span>
3 0
3 years ago
Read 2 more answers
What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of
Harrizon [31]

Answer:

9 : 1

Step-by-step explanation:

given a linear ratio = a : b, then the corresponding area ratio is

a² : b²

Here the linear ratio of their edges = 3 : 1, hence

ratio of surface areas = 3² : 1² = 9 : 1


4 0
3 years ago
Trigonometry heeellllppp plzzzz​
algol [13]

Answer:

x ≈ 3.4 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = \frac{opposite}{hypotenuse} = \frac{x}{4} ( multiply both sides by 4 )

4 × sin57° = x , thus

x ≈ 3.4 cm ( to 1 dec. place )

3 0
3 years ago
Other questions:
  • Solve 6 and 7 please?
    7·1 answer
  • What is 115% of 212?
    10·1 answer
  • Liability insurance covers any damage you might do to the apartment building. Contents insurance covers all your belongings. You
    10·1 answer
  • If x = 5 and y = 7, evaluate the following expression:<br> 100 – 3(3y - 4x)
    8·2 answers
  • Graph the exponential function y=5(2)^x
    14·1 answer
  • Write the standard equation for the circle center (-6,8) that passes through (0,0)
    5·1 answer
  • PLEASE HELP ME! &amp; FIND Y
    11·1 answer
  • Pa sagot nmnpo ng maayos ubos na po pts ko =&lt; need ko na po kac ng sagot in this time Sana ayos in ng sagot kac papagalitan n
    12·1 answer
  • Answer answer please answer
    12·2 answers
  • Does anyone know how to graph y=-4x
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!