Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
Answer:
C) 19.5 square units
Step-by-step explanation:
The area from coordinates can be computed as ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|
= (1/2)|-39| = 39/2 = 19.5
The area of the triangle is 19.5 square units.
Donut star bucks and donald duck
They are two triangles faces that are (6x2)/2 = 6 and the other one is 6 to
so that's 12
the top side is 4 x 2 = 8
back side is 3 x 2 = 6
the bottom side is 2 x 6 = 12
so its 12 + 8 + 6 + 12 = 36 inches squared surface area