Answer:
The surface area of the prism is 276 in.²
If you are also looking for the volume of the prism, it is 280.
Step-by-step explanation:
It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.
The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.
The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D
Answer:
21N:7m/s
? :10m/s
21x10=210
210÷7=30N
Your final answer is 30N
Step-by-step explanation:
This is called direct propotion
it involves close multiplication
Answer:
C . 4
Step-by-step explanation:
step 1 : -3 multiply with inside of the ( 7x-5 )
= -21x + 15
step 2 : then it will be 21x + 15 = 87 + 3x
step 3 : switch between the odds into like this
21x - 3x = 87 - 15
step 4 : subtract it all
18x = 72
step 5 : bring 18 to the other side
x = 72/18
step 6 : to find the ans of x is just calculate them
x = 72 ÷ 18
= 4
Or you can do like these ⬇️
-3 ( 7x - 15 ) = 87 + 3x
21x + 15 = 87 + 3x
21x - 3x = 87 - 15
18x = 72
x = 72/18 or 72÷18
x = 4
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
