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
Sauron [17]
3 years ago
12

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find the exact volume of the solid

Mathematics
2 answers:
charle [14.2K]3 years ago
7 0

Answer:

15,872 mm³

Step-by-step explanation:

bottom volume =  total volume - the volume on top

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

bot. vol = 16,384 mm³ - 512 mm³  = 15,872 mm³

Semmy [17]3 years ago
5 0

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

You might be interested in
Write 6:58 pm in a 24-hour time<br>format<br>​
Gre4nikov [31]

Answer:

Step-by-step explanation:

Military Time 0658 is: 06:58 AM using 12-hour clock notation, 06:58 using 24-hour clock notation.

5 0
3 years ago
June 1st = 1223 starting balance
Dima020 [189]

<u>Answer:</u>

The average daily balance for the month of June is 55.16

Solution:

Given, June 1st = 1223 starting balance

June 10th = 615 deposit

So these will add in the account

June 15th = withdrawal of -63

June 22nd = withdrawal of -120

These will be subtracted from the account.

\therefore We have to add the deposits and subtract the withdrawals from the starting balance to obtain the total amount.

So, the total amount deposited in June is (1223 +615-63-120) = 1655

The total days in June is 30. In 30 days, the total deposit is 1655. To calculate the average balance, we have to divide the total amount by the total number of days in the month.

So, in 1 day the deposit is \frac{1655}{30} = 55.16

Hence, the average daily balance for June is = 55.16  

5 0
3 years ago
What coordinates will a point (x, y) reflected over the line y = x have?
neonofarm [45]
It will have x and y switched

so (x,y) will become (y,x)
4 0
3 years ago
What is 7x+1-4+4+1+435
lisabon 2012 [21]

Answer:

the answer is 7x + 437

Step-by-step explanation:

1) 7 is the only number with a variable, <em>x</em>, so it will remain as it is.

2) -4+4= 0

3)1+1= 2

4) 2+435= 437

7) combine 7x and 437 together. 7x + 437.

We cant go any further, because 7x and 437 are not liketerms.

4 0
3 years ago
Flora earns $9.50 for each hour that she works.How much money will Flora earn if she works for 6 hours and 12 minutes?
Lena [83]
9.50/1 = x/6.2
(Cross multiply)
9.50*6.2 = 1x
58.9 = x
She will earn $58.90 if she works for 6 hours and 12 minutes
4 0
3 years ago
Read 2 more answers
Other questions:
  • Consider that a 1/2 cup of serving of 1% cottage cheese is equivalent to 125 grams. If one once of cottage cheese is equivalent
    7·1 answer
  • What is -1 29/40 as a decimal ? - show work plz:(
    6·2 answers
  • Find the amplitude of y= 10 cos ø. Then graph the function.
    5·1 answer
  • Solving an Absolute Value Equation
    12·1 answer
  • Plz answer correctly
    9·1 answer
  • Using the graph, determine the coordinates of the roots of the parabola.
    14·1 answer
  • URGENT!! Really need help on this test
    15·2 answers
  • I need more help please...
    11·1 answer
  • Solve: Six and three sevenths minus one and three sixths equals blank
    7·1 answer
  • Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triangle DEC. Which statements abo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!