The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
<h3>
What is a cube?</h3>
- A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
- The cube is one of the five Platonic solids and the only regular hexahedron.
- It has six faces, twelve edges, and eight vertices.
To find the volume of the cube that perfectly fits an 18 ft³ pyramid:
We have been provided that:
- 18 cubic feet is the volume of the pyramid.
- Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
- We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
- So, the volume of the cube = 3 × 18
- The volume of Cube = 54 ft³
Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
Know more about a cube here:
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The correct question is given below:
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?
(A) 6 cubic feet
(B) 18 cubic feet
(C) 54 cubic feet
(D) 72 cubic feet
Answer: a) -0.2252, b) 0.8219
Step-by-step explanation:
Since we have given that
Sample size n = 100
Probability that candies are blue = p= 0.26
Probability that company claims that it is blue candy = P = 0.27
So, Q = 1-P= 1-0.27 = 0.73
So, Null hypothesis : 
Alternate hypothesis : 
So, the test statistic would be
Since α = 0.05
So, critical value of z = 1.96
p-value = P(Z>Z(calculated)
Using the excel function , we get that
Hence, a) -0.2252, b) 0.8219
Answer:
square
Step-by-step explanation:
The opposite angles are congruent, the diagonals bisect each other, the opposite sides are parallel, the diagonals bisect the angles
We conclude that the final amount that she has in her bank account is $375.
<h3>
How much has Tara in her bank account now?</h3>
Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.
Then she received 3 checks for $35 each, so at this point she has:
$350 + 3*$35 = $455
Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:
$455 - 2*$41 = $375
We conclude that the final amount that she has in her bank account is $375.
If you want to learn more about additions and subtractions:
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Answer:
16 inches
Step-by-step explanation:
A cube has 6 sides and to find the surface area you would multiply one side by 6, or add the six sides together. So instead, to find the length of one side, you divide the surface area, 96, by 6 to get 16.
Hope this helps you :)
