Side length of 216 cubic yards
2 answers:
Answer:
6 yards
Step-by-step explanation:
The volume of a cube can be found using the following formula.
We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.
We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.
s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.
The side length of the cube is 6 yards.
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Answer:
400 units³
Step-by-step explanation:
The volume (V) of the square pyramid is
V = area of base × height (h)
where h is the perpendicular height.
Consider the right triangle formed by a segment from the vertex to the midpoint of the base and the slant height ( the hypotenuse )
Using Pythagoras' identity on the right triangle
h² + 5² = 13²
h² + 25 = 169 ( subtract 25 from both sides )
h² = 144 ( take the square root of both sides )
h = = 12
Area of square base = 10² = 100, hence
V = × 100 × 12 = 4 × 100 = 400
Correct question with correct options has been attached
Answer:
37
Step-by-step explanation:
Let C represent those dressed as heroes and let B represent those wearing mask
Thus;
n(C) = 39
n(D) = 45
We are told that 21 entrants were dressed as heroes wearing a mask.
Thus; n(C n D) = 21
We are also told that there were a total of 100 entries.
Thus, n(T) = 100
Now, number of entrants neither dressed as heroes nor wearing a mask is given by;
n(T) - n(C u D)
n(C u D) = n(C) + n(D) - n(C n D)
n(C u D) = 39 + 45 - 21
n(C u D) = 63
Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37
