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
hjlf
2 years ago
6

Please help calculate the total surface area​. Thanks

Mathematics
1 answer:
Gnoma [55]2 years ago
3 0

Answer: 70cm³

EXPLANATION:

1/2 x base x height x 2 (this is to find the surface area of one of the triangular faces since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)

1/2 x base x height x 2

1/2 x 3 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>

1/2 x 18 ←<em> (multiply 3x3x2=18) </em>

9cm³  ←<em>(since 18 is 2x9 your answer is 9cm³)</em>

<em></em>

1/2 x base x height x 2 (this is to find the surface area of the other triangular face with different measurements and since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)

1/2 x base x height x 2

1/2 x 4 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>

1/2 x 24 ←<em> (multiply 4x3x2=24) </em>

12cm³  ←<em>(since 24 is 2x12 so your answer is 12cm³)</em>

<em></em>

Then next you have to find the surface area of one face of the rectangle and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath

A= 3x7= 21cm³

then find the area of the other rectangular face with different measurements and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath

A= 4x7= 28cm³

<u>FINALLY</u>

add all the areas of the faces you have found and you'll get the total surface area!

<u>9+12+21+28=70cm³</u>

Thank you! I hope you understood something and I hope you have a great day! good luck!

You might be interested in
What is the smallest and largest perimeter of a polygon with an area of 20?
DENIUS [597]

Answer:

The polygon with the smallest perimeter is the megagon

The polygon with the largest perimeter is the triangle

Step-by-step explanation:

An equilateral triangle with area = 20 has

0.5× a²×sin60 = 20

a= 6.796

Hence, perimeter = 20.39

A square of area 20 has perimeter= 4×√20 = 17.9

A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05

Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases

Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.

4 0
3 years ago
7/8 times 1/3 times 2/5
allsm [11]

Answer:

7/60

Step-by-step explanation:

7/8 times 1/3 is 7/24.

Then, 7/24 times 2/5 is 7/60

When multiplying fractions you just multiply across. For example, 7/8 times 1/3. 7 times 1 is 7 and 8 times 3 is 24. So, 7/8 times 1/3 is 7/24.

Hope this helps :)

4 0
3 years ago
What is the slope of the line that passes through the points (-3,1) and (7,14)​
-Dominant- [34]
The slope is 1.3. The whole equation is y=1.3x+4.9
5 0
3 years ago
Congruent figures Practice -2 measurement of angle F
ExtremeBDS [4]

Answer:

m∠F = 45°

because

Corresponding

Parts of

Congruent

Triangles are

Congruent

5 0
3 years ago
Solve the expression 7^P 2 (P = permutation)
Keith_Richards [23]

Answer:

42

Step-by-step explanation:

_aP_b = \dfrac{a!}{(a - b)!}

_7P_2 = \dfrac{7!}{(7 - 2)!}

_7P_2 = \dfrac{7 \times 6 \times 5!}{5!}

_7P_2 = 7 \times 6

_7P_2 = 42

3 0
4 years ago
Other questions:
  • suppose an investment of 1,800 doubles in value every 7 years. How much is the investment worth after 42 years?
    10·1 answer
  • Do u know math because I need help on what is 8% of 40
    13·2 answers
  • Ernie is interested in going to see other of the top-earning movies. Assuming he pays the average ticket cost, how much would it
    12·2 answers
  • Please answer this question its my homework
    10·2 answers
  • A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings. If Elen
    10·1 answer
  • -1.52 + X= 4.19 solve for x​
    5·2 answers
  • Rayna has 5 pounds of ground beef to make hamburgers for a picnic. Each hamburger uses 1/4 pound of ground beef. How many hambur
    6·1 answer
  • What's 3 divided by -3x? Is it just x or -x or -1x
    11·2 answers
  • Find the zero of the polynomial p(x)=5x-10?
    5·1 answer
  • the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!