The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
Acute since right triangles have a 90 degree angle and obtuse triangles have angles in between 90 and 180
Answer:
Step-by-step explanation:
b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km
Radius of Mercury = 4880÷ 2 = 2440 km
c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶
Mass of Saturn = 5.68 * 10²⁶
Difference = 18.98 * 10²⁶ - 5.68*10²⁶
= (18.98 - 5.68) * 10²⁶
= 13.30 * 10²⁶
= 1.330 * 10²⁷
Answer:
c alternate interior angles theorem
Step-by-step explanation:
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