The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
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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
'a' is the correct answer
Minus 2 degrees every hour
there are 4 hours
d=degrees dropped
- 2 x 4 = d
Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
3 odd integers have a property that they average up to the middle large one. Let's say we have 3, 5, and 7. 3 is 2 less than 5 and 7 is 2 more than 5. so when you add them it equals 2 times 5.
After we know that, the sum of 3 odd integers is just 3 times the middle number. ex. 3+5+7 = 3 times 5 = 15
Then we know the some number times three = 225. we find out that the middle number is 75, so the other two are 73 and 77
