The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!
Answer:
D
Step-by-step explanation:
Its kinda hard to explain but its the answer
Answer:
3.5 more times sugar in B
Step-by-step explanation:
We need to see that the fact that Beverage B is 0.21 sugar can be translated to percentages, just by multiplying and dividing by 100 to get it easier to see:
0.21 * 100 /100 = 21/100 = 21% percent
This means that for every 100 units, 21 are sugar.
Now we can compare percentages directly, as both have the same volume because are sold in identical cans. We need to get how many times is 21 greater than 6. The only thing we need to do is the ratio between them:
21/6= 3.5
This implies that 21 is 3.5 greater than 6, you can verify it by multiplying 6 by 3.5 and getting 21.
So, B has 3.5 times more sugar than A.
Answer:
f(g(x)) = 12x - 37
Step-by-step explanation:
Step 1: Define
f(x) = 6x + 5
g(x) = 2x - 7
Step 2: Find f(g(x))
f(g(x)) = 6(2x - 7) + 5
f(g(x)) = 12x - 42 + 5
f(g(x)) = 12x - 37