Question

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 base.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.

Answer 1

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. 

Answer 2

Miguel's Tower is the same height as Jacqui's Tower

Further explanation

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 !

Given:

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

Unknown:

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

Solution:

This problem is about Volume of Prism.

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

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

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

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

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

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

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

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

Conclusion:

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

Learn more

• The perimeter of a polygon : https://brainly.com/question/6361596
• The perimeter of a rectangle : https://brainly.com/question/7619923
• The perimeter of a triangle : https://brainly.com/question/2299951

Answer details

Grade: College

Subject: Mathematics

Chapter: Three Dimensional Figures

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