First we neeed to find the volume of the rectangular prism
Volume of cube with side lengths 1/6 = 1/6 x 1/6 x 1/6 = 1/216
The number of cubes needed to fill the prism without gaps or overlaps =
Answer:
(6x6x6x6) x (6x6x6)
Step-by-step explanation:
6 to the power of four is just 6 multiplied to itself 4 times.
6 to the power of three is just 6 multiplied to itself 3 times.
So, you would be multiplying 6, 7 times.
You could check it with a calculator. - 6^4 x 6^3 = 279936.
6^7 = 279936.
Answer:
x = 13 ; x = 5
Step-by-step explanation:
The easiest related equation to get is simply solving for x:
a) x + 5 = 18
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 5 from both sides:
x + 5 (-5) = 18 (-5)
x = 18 - 5
x = 13*
b) 66x = 330
Isolate the variable, x. Divide 66 from both sides of the equation:
(66x)/66 = (330)/66
x = 330/66
x = 5*
*Note: An equation simply is a expression that has an equal sign. This means that as long as there is an equal sign, it counts as an equation.
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Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3
Answer
D.26
Step-by-step explanation:
