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
kondaur [170]
3 years ago
7

*100 points* What is the maximum volume of a square pryamid that can fit inside a cube with a side length of 24 cm? A) 2,304 cm3

B) 4,608 cm C) 6,912cm3 D) 13,824 cm3s
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
8 0

Answer:

B) 4,608.

Step-by-step explanation:

A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).

     The volume of the pyramid:

     V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³

     Answer:

     The maximum volume of the pyramid is 4,608 cm³. 

You might be interested in
Jackson bought 3 pounds of candies for $9.75 What was the price of these candies in dollars per pound?
Stels [109]
9.75 dollars divided by 3 pounds equals 3.25 per pound
8 0
4 years ago
Find the area of the shape, round to the nearest tenth
strojnjashka [21]

Answer:

6

Step-by-step explanation:

Area = (top + bottom)*height/2

Area = (2 + (2+1+1))*2/2

Area = 6*2/2

Area = 6

4 0
3 years ago
10. Find the value of x in the equation 2(x - 3) + 5x = 5(2x + 6).
RoseWind [281]

Option A

<u>Answer: </u>

The value of x in the equation 2(x - 3) + 5x = 5(2x + 6) is -12

<u>Solution: </u>

From question given that

2(x - 3) + 5x = 5(2x + 6)

Open the brackets,

2x – 6 + 5x = 10x + 30

Rewrite the above equation,

2x + 5x – 6 = 10x + 30

On simplifying the above equation, we get

7x – 6 = 10x + 30

Now adding 6 on both sides,

7x – 6 + 6 =10x + 30 + 6

7x = 10x + 36

On subtracting 10x on both sides,

7x - 10x = 10x + 36 - 10x

-3x = 36

On dividing -3 on both sides,

x = -12

Hence on simplifying 2(x - 3) + 5x = 5(2x + 6) we get value of x is -12. Hence Option (A) is correct.

7 0
4 years ago
Solve the following using substitution method
Wewaii [24]

Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

6 0
3 years ago
-Ms. Gorman says, “Then victory won’t lie in the blade, but in all the bridges we’ve made.” What does she mean by ‘bridges?’
Setler [38]

Answer:

OH I love Amanda Gorman!

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Angles 1 and 2 are supplementary
    11·2 answers
  • Whats the slope of the line? Give your answer as a fraction or decimal in the lowest terms.
    15·2 answers
  • *WILL GIVE BRAINLIEST*
    12·1 answer
  • A company charges $6 to make a pattern of t-shirts and $11 for each t-shirts it produces from the pattern. The expression $11n+
    5·1 answer
  • Is 7.401 larger or smaller then 7.04
    8·2 answers
  • Heather buys 12 patio chairs for $366. Each chair costs the same amount. Part A Which equation represents the best estimate for
    7·1 answer
  • Jakie długości mają boki równobocznego, którego wynosi 18cm???klasa 5 PLZZ NA SZYBKO :(((((
    13·1 answer
  • Jack is mixing red paint with blue paint to make purple paint. he adds 2/5 of a fluid ounce of red to 11/15 of a fluid ounce of
    8·1 answer
  • Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He find
    14·1 answer
  • Enter inequality that represents the graph in the box
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!