Answer:
Step-by-step explanation:
Area = pi*r^2
Area = pi*9^2
Area =
You are given
the surface area of the cube which is 96cm2. You are asked to find the length
of one side and its volume. Note that the surface area of the cube is equal to
6 times the square root of s (the side of the cube) and the volume is the cube
root of s. So,
SA = 6*s^2
96cm2 = 6*s^2
s^2 = 16cm
<u>s = 4cm,
this is the length of one side.</u>
V = s^3
V = (4)^3
<u>V = 64cm3,
this is the volume of the cube.</u>
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )
