Question

an someone please help me with this math homework please am in 7th grade https://ibb.co/2PxxDMd

Answer 1

@AZ

Answer 2

remember lateral surface area is the area of just the sides and not the bases

so just the areas of the rectangles
because the triangles are part of the bases

Answer 3

Thanks for taking over AZ :D

Answer 4

No problem, Kaz :)

Answer 5

So do you see that we have three different rectangles?

Let's find the area of the red rectangle first

The length is 10 and the width is 9

area = length * width

what is the area of the red rectangle?

Answer 6

10 and 9

Answer 7

Multiply them to find the area of that rectangle

Answer 8

ok yes sir

Answer 9

90

Answer 10

yes, now what about the green one?

length of 10 and width of 12

area = ?

Answer 11

120

Answer 12

Good! And the blue rectangle

length is 10 and width is 15

area = ?

Answer 13

150

Answer 14

good so now we just have to add up the areas for all three sides to find the lateral surface area

90 + 120 + 150 =

Answer 15

360

Answer 16

so that's your lateral surface area

make sure to color all those three rectangles as blue
or I don't know if you're just supposed to write the number 360 in blue haha

Answer 17

?

Answer 18

Now to find the complete surface area, we need to find the area of the triangles

area of triangle = 1/2 * base * height

we have a base of 12 and a height of 9

area = ?

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Tonycoolkid21
?
\(\color{#0cbb34}{\text{End of Quote}}\)

Oh, I have no idea but your worksheet says "color your answer blue" so I'm not sure what that means but I'm just pointing it out so you don't forget :)

Answer 20

ok teacher

Answer 21

now i need the total surface area

Answer 22

no problem, son

Answer 23

we need to find the area of the triangle! :D

area of triangle = 1/2 * base * height

the triangle has a base of 12 and a height of 9

what is the area?

Answer 24

108

Answer 25

mhmm are you sure?

remember, it's 1/2 (or 0.5) times the base times the height

so 0.5 * 12 * 9 = ??

Answer 26

oh sorry teacher i forgot

Answer 27

54

Answer 28

Good! Now remember surface area is basically the area of each shape all added together

How many triangles did we have?

Answer 29

two

Answer 30

exactly so we added up the area of the three rectangles and got 360

now we add the two triangles so

360 + 54 + 54 =

Answer 31

468 is that my total surface area

Answer 32

Well done, Anthony!

Answer 33

how you know my name techaer

Answer 34

Tony has to be short for Anthony, of course

Answer 35

oh k

Answer 36

teacher so my lateral surface area is 360 and my total area is 468

Answer 37

That is correct!

Answer 38

thank you techaer

Answer 39

No problem!

Answer 40

i have two more to go teacher AZ