Respuesta :
Hello,
Volume of the square pyramid=
1/3×B×h where B represent Base and h represent height
Now, substitute the information that we had from this problem into the formula.
47.25=1/3×B×7
Times 3 from both side
141.75=7B
Divide B from both side
B=20.25 square inches
B=s^2
Square root it to get
s=4.5 inches. As a result, the side length of square base is 4.5 inches. Hope it help!
Volume of the square pyramid=
1/3×B×h where B represent Base and h represent height
Now, substitute the information that we had from this problem into the formula.
47.25=1/3×B×7
Times 3 from both side
141.75=7B
Divide B from both side
B=20.25 square inches
B=s^2
Square root it to get
s=4.5 inches. As a result, the side length of square base is 4.5 inches. Hope it help!
The side length of the square base is 4.5.
What is a square pyramid?
'A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex.'
According to the given problem,
Let the side length of the square base be a,
We know,
Volume = [tex]\frac{1}{3}a^{2}h[/tex]
⇒ 47.25 = [tex]\frac{1}{3}a^{2}h[/tex]
⇒ 47.25 × 3 = a²h
⇒ 141.75 = a²h
⇒ 141.75/7 = a²
⇒ a² = 20.25
⇒ a = 4.5
Hence, we can conclude, the side length of the square base is 4.5 inches.
Learn more about square pyramid here: https://brainly.com/question/22992395
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