Astorage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. if jean double these dimensions, she believes that only is double the volume. are you correct?

If Jean double these dimensions, the volume will be eight times the initial volume.

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:

A rectangular prism has dimensions of L = 6 meters by W = 5 meters by H = 12 meters.

If Jean double these dimensions , then:

If Jean double these dimensions, the volume will be eight times the initial volume.

Initial Volume = 6 × 5 × 12 = 360 m³

Final Volume = 2(6) × 2(5) × 2(12) = 8 × 360 m³ = 2880 m³

Grade: College

Subject: Mathematics

Chapter: Three Dimensional Figures

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

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