Micah construct a rectangular prism with a volume of 360 cubic units the height of his prism is 10 units Micah claims that the b
ase of the prism must be a square draw a base that shows his claim is incorrect
1 answer:
Given:
rectangular prism
volume of 360 cubic units
height is 10 units
Volume = length * width * height
360 cubic units = lw * 10 units
360 / 10 = lw
36 = lw
The only measure of the sides of a square base is 6 units. 6 is the square root of 36.
To prove that the base of the prism is not a square, its measure should be
length = 9 ; 18 ; 12
width = 4 ; 2 ; 3
V = 9 x 4 x 10 = 360
V = 18 x 2 x 10 = 360
V = 12 x 3 x 10 = 360
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8. Which one of the following examples represents a repeating decimal?
A. 4.252525
B. 1.111114
C. 0.123123
D. 0.777777
Pythagorean Theorem
a^2 + b^2 = c^2
so
b^2 = c^2 - a^2
Plug in
b^2 = 13^2 - 7^2
b^2 = 169 - 49
b^2 = 120
b = √120
Answer
c. √120 centimeters