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
natka813 [3]
3 years ago
6

What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

The answer to your question is 10240 mm³

Step-by-step explanation:

Data

length of the base = 32 mm

length of the height = 34 mm

Formula

Volume of a pyramid = 1/3 x Area of the base x length of the height

Process

1.- Calculate the area of the base

Area = side x side

        = 32 x 32

        = 1024 mm²

2.- Find the height of the pyramid using the Pythagorean theorem

height² = 34² - 16²

height² = 1156 - 256

height² = 900

height = 30

3.- Calculate the volume of the pyramid

Volume = 1/3Area x height

             = 1/3(1024 x 30)

             = (30720)/3 mm³

             = 10240 mm³

You might be interested in
If f is a function such that f(b)-f(a)/b-a=2, then which of the following statements must be true?
solong [7]
Based on the type of equation, f(b) relates to y2, f(a) relates to y1, b relates to x2, and a relates to x1.  If we change those around we now get:
(y2 - y1)/(x2 - x1) which is the slope formula, or the average rate of change.  thus your answer would be C
3 0
3 years ago
Can someone please help me do this
Viefleur [7K]

Answer:

Step-by-step explanation:

CD is Pole

∠CAD = 4°  {Alternate interior angles}

ΔCAD,

\dfrac{opposite \ side}{adjacent \ side}= tan 4\\\\ \dfrac{90}{AD}=tan \ 4\\\\ \dfrac{90}{AD} = 0.069\\\\90 = 0.069*AD\\\\ \dfrac{90}{0.069}=AD\\\\AD = 1304 \ ft

In ΔCDB,

∠B = 5° {Alternate interior angles}

Tan \ 5 = \dfrac{90}{BD}\\\\0.09* BD = 90\\\\BD =   \dfrac{90}{0.09}\\\\BD = 1000 \ ft

4 0
3 years ago
Surface area of a prism please help its my last day 120 points
elena-s [515]

Answer:

Area of the base = (8×6)/2 = 24 yd²

Height of the prism = 8 yd

Perimeter of the base = 8+6+10 = 24 yd

Surface area = 2B + Ph = (2×24)+(24×8) = 48+192 = 240 yd²

5 0
3 years ago
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

5 0
3 years ago
What is the value of 7 in 2,639,187
jolli1 [7]
The 7 should be one's place...? 
6 0
3 years ago
Read 2 more answers
Other questions:
  • Need help how to solve this
    13·2 answers
  • Can the sides of a triangle be in a ratio of: a 3:4:5
    10·2 answers
  • What is 920 times 98??
    14·2 answers
  • What is the difference between zero and -53 on the number line
    6·2 answers
  • Find the slope between (3, 2) and (5, 3).​
    12·1 answer
  • What is how do I find m and b?
    8·1 answer
  • Please Help it is due today:
    10·2 answers
  • Antony purchases his Play Station 5 for $1,099 from Best Buy near the Parks Mall. The sales tax is 8.25%. How much does he pay f
    12·1 answer
  • A function is given:
    12·1 answer
  • The diameter of a circle is 34 kilometers. What is the circle's circumference?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!