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
16x − 7 ≤ − 71<br><br> Find the solution set of the inequality
natka813 [3]

Answer:

x\leq -4\\

Step-by-step explanation:

Add 7 to other side making equation 16x\leq-71+7

16x\leq-64

16 goes into -64 -4 times.

Answer would give you x\leq-4

To check, you could substitute -4 into the inequality

16(-4)-7\leq-71

-71\leq-71 check

16(-10)-7\leq-71

-167\leq-71 check

4 0
3 years ago
For every 24 minutes of television there are 6 minutes of commercials how many minutes of a commercial are there 1 hour and 36 m
oksian1 [2.3K]

Answer: 16 minutes


Step-by-step explanation:

24: 6= 4

1 hour = 60 minutes

60+36 =96

24 x 4 = 96

4 + 4+ 4+ 4= 16

5 0
4 years ago
WILL MARK BRAINLIEST
kherson [118]

Answer

g(x) = x^3 − x^2 − 4x + 4

End behavior- Falls to the left rises to the right

y intercept-(0, 4)

Zeros- (1,-2,2)

g(x) = x^3 + 2x^2 − 9x − 18

End behavior- Falls to the left rises on the right

y intercept- (0,-18)

Zeros- (-2,-3,3)

g(x) = x^3 − 3x^2 − 4x + 12

End behavior-Falls to the left rises to the right

y intercept-(0,12)

Zeros- (3,-2,2)

g(x) = x^3 + 2x^2 − 25x − 50

End behavior- falls to the left rises to the right

y intercept(0,-50)

Zeros- (-2,-5,5)

g(x) = 2x^3 + 14x^2 − 2x − 14

End behavior- falls to the left rises to the right

y intercept-(0,-14)

Zeros- (-7,-1,1)

Step-by-step explanation:

~Plz tap the crown~

~ Thank you~

6 0
3 years ago
A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they fi
a_sh-v [17]

In unit of batches over days, let r be the planned rate and R be the actual increased rate. The difference between R and r is described as 10 shirts per day.

R-r=10

                        Rate                  Time                  Batches

Planned              r                          8                           1

Actual                 R                         7                            1


\left[\begin{array}{c}r=1/8&R=1/7&R-r=HowManyBatchesInTenShirts\end{array}\right]

1/7-1/8, the number of batches equivalent to 10 shirts.

(1/56)*Batches=10*Shirts

OneBatch=560*Shirts

Hope This Helps!!!

4 0
3 years ago
HIIII
kicyunya [14]

Answer:

3.21

Step-by-step explanation:

got it from googIe

7 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the area of a square with a diagonal of 8in
    10·2 answers
  • Are 4/5 and 1/2 equivalents?
    13·1 answer
  • Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia sav
    11·2 answers
  • What is an equation of the line that passes through the point (5,8) and is parallel to the line 4x−5y=45?
    9·1 answer
  • B)<br> Work out the size of one interior angle.<br> NEED HELP WITH B <br> thanks everyone
    9·1 answer
  • Tallulah needs to order some new supplies for the restaurant where she works. The restaurant needs at least 569 glasses. There a
    6·1 answer
  • PLEASE ANSWER STRAIGHT AWAY
    11·2 answers
  • Pizzazz 164 answers???? What do you call it when someone pays back a loan quickly
    7·1 answer
  • Can someone please help me <br> h(x) = 2x – 14; h(-4)
    12·1 answer
  • Classify the following triangle Select all that apply
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!