To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
Answer:
12 inches
Step-by-step explanation:
Let b represent the base
h represents the height
area of the parallelogram = base * height = 216 square inches
From the question'
b = 18 + 3h
Slot in the value of b
216 = (18 + 3h) * h
expand
216 = 18h + 3h^2
subtract 216 from both sides
0 = 18h + 3h^2 - 216
rearrange
3h^2 + 18h - 216 = 0
divide through by 3
h^2 + 6h - 72 = 0
Now, lets solve!
h^2 + 6h - 12h - 72 = 0
h( h + 6 ) - 12(h + 6) = 0
(h - 12) (h + 6) = 0
h - 12 = 0
h = 12
and
h + 6 = 0
h = - 6
Taking the positive value of h
Hence, the height is 12 inches
Lets check
when h = 12 inches
Area of the parallelogram = 18* 12 = 216 square inches .... correct
when h = -6inches
A = 18 * -6 ≠ 216 square inches
So height is 12 inches
Step-by-step explanation:
The area of the triangular base is: 19
square units
How to calculate the base area
The given parameters are:
Volume = 27.36 cubic units
Height = 2.88 unit
The volume of a triangular prism is:
V = 0.5 * B *h
Where B represents the base area.
So, we have:
27.36 = 0.5 * B * 2.88
27.36 B * 1.44 -
Solve for B
B = 19
Hence, the area of the triangular base is: 19 square units
Answer: same bruh
Step-by-step explanation:
