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
Fantom [35]
3 years ago
14

The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meter

s. What is the lateral area of the prism? What is the total suface area?
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP  ; height * perimeter
     = 3m * (6 + 8 + 10)
     = 3m * 24
LA = 72 m² 

Surface Area Formula:
SA = 2B + hP       : B = area of the base  = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²

You might be interested in
The speed of radio waves can be approximated to be 299,790,000 meters per second. The wavelength of a particular radio station’s
azamat

Answer:

f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz

And if we convert to megahertz we got:

9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz

Step-by-step explanation:

For any mechanical wave we have the following general relationship:

v = \lambda f

where:

v represent the speed of the wave = 299790000 m/s

\lambda = 3.03m represent the wavelength for the radio station

f represent the frequency of interest

If we solve for the frequency we got:

f = \frac{v}{\lambda}

And replacing the values we got:

f = \frac{299790000 \frac{m}{s}}{3.03 m}= 9890594.06 Hz

And if we convert to megahertz we got:

9890594.06 Hz *\frac{1MHz}{10^6 Hz}= 98.9 MHz

6 0
2 years ago
Connor is painting a superhero with this belt buckle shown. What is the area of the belt buckle in square Inches? 9 inches 2.5 i
antoniya [11.8K]

Answer:

87.5 square inches

Step-by-step explanation:

The belt knuckle as shown in the diagram above consist of a 4 rectangles (2 are the of the same dimension, the other two are of the same direction differently) and a rectangle.

Area of the belt knuckle = area of the 4 triangles + area of the rectangle

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 9 inches

height (h) = 2.5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*9*2.5)

= 22.5 inches²

✔️Area of the 2 rectangles with the following dimensions:

base (b) = 4 inches

height (h) = 5 inches

Area of the two triangles = 2(½*b*h)

= 2(½*4*5)

= 20 inches²

✔️Area of the rectangle = l*w

l = 9 inches

w = 5 inches

Area = 9*5 = 45 inches²

✔️Area of the belt knuckle = 22.5 + 20 + 45 = 87.5 square inches

3 0
2 years ago
PLEASE PLEASE HELP!!!
natka813 [3]

Answer:

398,765 books were sold

Step-by-step explanation:

How to get the answer:

1) Identify the given

  32,300 is percentage

  8.1 % is rate

  base (b) is missing

2) Solve

   b= p/r

   b= 32,300 / 8.1% or 0.081

   b= 398,765

3) Check

   398,765 x 8.1% = 32,299.97 or 32,300

5 0
2 years ago
Mr. Chambliss is planning to build a shed with a rectangular floor. In his original
deff fn [24]
C. By three feet 7x5=35 area 7x10=70 area 7+3=10
4 0
3 years ago
What is 2/3 divided by 1/6
yuradex [85]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Solving each system by substitution. 6x+8y=-22<br> y=-5
    14·1 answer
  • Q3.) Write the standard form of the equation of the circle with the given center and radius.
    13·1 answer
  • Prove the identity
    5·1 answer
  • Which set of numbers is NOT in the solution set of the inequality x &lt; 12?
    7·1 answer
  • This is a table of values that follows a given rule or function. Each output comes from the input being applied to the rule.
    12·1 answer
  • A square has an area of 112 cm squared what is the approximate perimeter of the square
    10·1 answer
  • Please help me asap i’ll give you a thanks and 10 points
    9·1 answer
  • Given c= -15 and d<br> -22, what is c - d?
    5·1 answer
  • 6<br> (<br> p<br> +<br> 6<br> )<br> −<br> 3<br> (<br> p<br> +<br> 3<br> )
    14·2 answers
  • If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 31 feet from the bottom of the build
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!