answer.
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
morpeh [17]
2 years ago
8

Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If th

e pyramid was full of water, how much of the prism would it fill up? Name another pair of three-dimensional objects that have a relationship similar to this.
Mathematics
1 answer:
Luden [163]2 years ago
4 0
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height 

volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height 
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume

Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this

cones and cylinders

</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>

</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height 

substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
You might be interested in
cents.ivan, bella, and ian agreed to share a pizza which was cut into 101010 slices. ivan ate 40\@@, percent of the pizza.how ma
ANEK [815]
4 is the answer! Because if you have 10 slices of pizza and you ate 40% of it you need to divide 40 by 10 and you get 4 as your answer!!!


6 0
2 years ago
A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of $0.20/min beyond that time.
Anika [276]

Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.

Step-by-step explanation:

C(x) = 20 + 0.20(x − 60)

C(x) ≤ 60

20 + 0.20(x − 60) ≤ 60

0.20(x − 60) ≤ 60 - 20

0.20x - 12 ≤ 40

0.20x ≤ 40 + 12

0.20x ≤ 52

x ≤ 52/0.2

x ≤ 260

This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.

7 0
2 years ago
What is the exact volume of the cone? 80π ft³ 4003π ft³ 400π ft³ 418710π ft³ Outline of cone with a dotted line rising from midd
rodikova [14]
Volume of cone = 1/3 x pi x r^2 x h
where r = 5 ft and h = 16ft

Volume = 1/3 x pi x 5^2 x 16 = 400/3 π ft^3
6 0
2 years ago
Read 2 more answers
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
3 0
2 years ago
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal lin
joja [24]
Let the distance be d

Using pythagorean theorem,

d^2 = 64^2 + 100^2
d^2 = 14096
d = 118.7
d ≈ 119 


The player ran for 119 meters
8 0
2 years ago
Read 2 more answers
Other questions:
  • Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companie
    13·2 answers
  • Lines K and L are parallel,and the measure of angle ABC is 19 degrees
    11·1 answer
  • If n(A-B)=18,n(AuB)=70 and n(AnB)=25 then find n(B)
    12·1 answer
  • Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
    15·1 answer
  • 3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
    6·1 answer
  • A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a
    11·1 answer
  • Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 ​ start fraction, 1, divided by, 3, end fraction of a sheet to
    5·1 answer
  • Write 55,426 using the number names
    6·2 answers
  • A trampoline salesman makes $25,000 annually plus 6% commission on his total sales. If he sold $40,000 worth of trampolines this
    5·1 answer
  • Which of these statements best describes the relation shown in Item 1?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!