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3 years ago

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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.

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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The parameters are:

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In this problem:

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The probability is:

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In which:

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