9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
Alright assuming they mean total surface area since they didn't say lateral the equation to follow would be S= Ph + 2B
Start with P:
P stands for perimeter, so add up all the edges on one face of the cube.
Then your equation becomes
S= 68×h + 2B
h=height and that's obviously 17
so, S= 68×17 +2B
Now to find B. This is pretty easy. All you need to do is take 17×17 because you're finding the area of the base. This equals 289.
Finally this leaves us with the equation
S= 68×17+2×289
From there on you just solve it out.
This would leave you with 1734.
First from the information we have, we see that the volume of the cube is 27cm3. So what are the dimensions of its length, width and height? This information will help us to determine the dimensions of the square pyramid.
Volume of a cube is found from the formula V = a3
Where V is volume, and a is the length of one side.
We expand this equation to be:
V= a * a * a
Since all sides of a cube are equal, then this equation will be:
27 = 3 * 3 * 3
Now we know the length width and height of the cube.
Volume of a square pyramid is given by the formula V =1/3ah
Where V is the volume, a is the area of the base of the pyramid, h is the height of the pyramid.
Since it fits perfectly into the cube, then its dimensions are the same as the cube, so:
Area of the base is Length * Width so:
a = 3 * 3 = 9
and height:
h = 3
Now therefore:
V = 1/3 * 9 * 3
V = 1/3 * 27
V = 27/3
V = 9 cm3
Read more on Brainly.com - brainly.com/question/11049932
Answer:
it's B.) No triangle exists with the given side lengths. NOT THE OTHER ONE
Step-by-step explanation: