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lyudmila [28]
3 years ago
14

Miguel and Jacqui built towers out of craft stickers.Miguel's tower had 4-inch square base.Jacqui's tower had a 6-inch square ba

se.If Miguel's tower had a volume of 128 cubic inches and Jacqui's had a volume of 288 cubic inches,whose tower was taller? Explain your reasoning.

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

<h3>Miguel's Tower is the same height as Jacqui's Tower</h3>

<h3>Further explanation</h3>

To solve the above questions, we need to recall some of the formulas as follows:

Volume of Prism = Base Area × Height

Area of Square = (Side Length)²

Let us now tackle the problem !

<u>Given:</u>

Miquel's Tower Square Base Length = L₁ = 4 in.

Jacqui's Tower Square Base Length = L₂ = 6 in.

Volume of Miquel's Tower = V₁ = 128 in.²

Volume of Jacqui's Tower = V₂ = 288 in.²

<u>Unknown:</u>

Heigth of Miquel's Tower : Height of Jacqui's Tower = H₁ : H₂ = ?

<u>Solution:</u>

This problem is about Volume of Prism.

\texttt{Volume of Miguel's Tower} = (\texttt{Base Area}) \times (\texttt{Height of Miguel's Tower})

128 = (4)^2 \times (\texttt{Height of Miguel's Tower})

\texttt{Height of Miguel's Tower} = 128 \div 4^2

\texttt{Height of Miguel's Tower} = \boxed {8 ~ \texttt{inches}}

\texttt{Volume of Jacqui's Tower} = (\texttt{Base Area}) \times (\texttt{Height of Jacqui's Tower})

288 = (6)^2 \times (\texttt{Height of Jacqui's Tower})

\texttt{Height of Jacqui's Tower} = 288 \div 6^2

\texttt{Height of Jacqui's Tower} = \boxed {8 ~ \texttt{inches}}

<h2>Conclusion:</h2>

Height of Miguel's Tower is the same as Height of Jacqui's Tower

<h3>Learn more</h3>
  • The perimeter of a polygon : brainly.com/question/6361596
  • The perimeter of a rectangle : brainly.com/question/7619923
  • The perimeter of a triangle : brainly.com/question/2299951

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Three Dimensional Figures

Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width

zheka24 [161]3 years ago
4 0
Jacqui's tower is taller than miguel's. How did I manage to pull that out? I divide the volume by the product of the length and wide of the base tower and that should give me the height of the tower. <span />
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