50+ PTS PLEASE HELP WILL GIVE BRAINLIEST A right rectangular prism has these dimensions: Length: 1 1/4 units. Width: 5/8 unit. H eight: 3/4 unit. How many unit cubes of side length 1/8 unit are required to pack the prism without any gap or overlap? 60 75 150 300
2 answers:
Answer:
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
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Step-by-step explanation:
Volume of prism = l x w x h
Volume of right rectangular prism = 1 1/4 x 5/8 x 3/4 = 75/128
Volume of cube = s^3
= 1/8^3 = 1/512
Total cubes = volume of prism / volume of cube
Total cubes = 75/128 / 1/512
Total cubes = 300
The answer is 300
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Answer:
Step-by-step explanation:
Given
Required
Determine the unit rate
The unit rate is calculated as:
Convert to multiplication
Hence, the expression can be represented as:
f(x) = 2x^2 - x - 10
Part A:
x-intercepts: (-2,0), (5/2,0)
Part B:
The vertex is the minimum
vertex: (1/4, -81/8)
Part C:
A:
x: -2, -1, 1/4, 1, 2
y: 0, -7, -81/8, -9, -4
B: