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
vladimir2022 [97]
2 years ago
9

Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria

ngular face is 20 inches. Round your answer to the nearest tenth.

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
3 0

Answer:

The volume of a square based pyramid is <u>645.3 cubic inches</u>.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = \frac{base}{2}=\frac{10}{2}=5\ inches.

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2

<em>Using square root on both sides we get:</em>

<em />19.36=leg2<em />

<em>leg 2 = 19.36 inches.</em>

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

Volume=a^2\frac{h}{3}

Volume=10^2\times \frac{19.36}{3}

Volume=100\times 6.453

Volume=645.3\ cubic\ inches.

<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

You might be interested in
Percent decrease 95 to 15
scZoUnD [109]

Answer:

84.2105263 % decrease

Step-by-step explanation:

Take the original and subtract the new

95-15 = 80

Divide by the original

80/95

.842105263

Change to percent form

84.2105263 % decrease

5 0
2 years ago
find the diameter of a cylinderical log of wood if needs 132m long rope to tie around at three different places​
Arada [10]

Answer:

circumference = 132/3= 44m

2π r = 44

2r = diameter = 44/π = 14 m

5 0
2 years ago
A man is 37 years old and his child's age is 8. How many years ago was the product of their ages 96?
nexus9112 [7]

man is 37 years old and his child's age is 8. How many years ago was the product of their ages 96?

c0me g00.gle me.e. t

sub-mqgc-jtm

girl only

5 0
3 years ago
The sum of two numers is 52 . The difference of the two numbers is 38 . What are the two numbers? Write the two numbers separate
Ray Of Light [21]
Let the first number be 'x' and the second number is 'y'

Equation 1: x + y = 52
Equation 2: x - y = 38

Rearranging equation 2 to make either x or y the subject
x = 38 + y

Substituting x = 38 + y into equation 1

x + y = 52
(38+y) + y = 52
38 + 2y = 52
2y = 52 - 38
2y = 14
y = 7

Substitute y = 7 into either equation 1 or equation 2 to find x

x + y = 52
x + 7 = 52
x = 52 - 7
x = 45

x = 45
y = 7
8 0
3 years ago
How do you simplify (4/9)²?
Vanyuwa [196]
(4/9)² = 4²/9² = 16/81 
7 0
3 years ago
Other questions:
  • Find the measure of angle U
    11·1 answer
  • In the diagram, △A’B’C’ is an image of the △ABC. Which rule describes the translation? PLEASE HELP SOMEONE!!
    6·1 answer
  • Triangle ABC is similar to triangle XYZ. What is the value of p in centimeters?
    5·1 answer
  • PLEASEEEEEEEEEEEE *cries*
    11·1 answer
  • What is 36/50 in simplest form. Brainliest for the first answer. 30 points. HURRY
    8·2 answers
  • The best fitting straight line for a data set of X-values plotted against y-values is
    14·1 answer
  • The diagram below is a scale drawing of a farmer's vegetable garden, where the length is 12 inches and the width is 8
    9·1 answer
  • Help me please!! My teacher never thought me this!
    14·1 answer
  • Answer ASAP please!
    6·1 answer
  • Using the tools in GeoGebra, measure and to confirm the results found in part C. Take a screenshot of your image showing the ang
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!