Mathematics: Aright rectangular prism has length 35 cm, width 25 cm, and height 20 cm. if the length, width, and height are multiplied by 1/5, what happens to the surface area?

Aright rectangular prism has length 35 cm, width 25

chem64

12.03.2022

1. The area of a rectangular prism can be calculated with the following formula:

A=2(wh+lw+lh)

Where l is the length, w is the width and h is the heigth.

2. Let's calculate the area with the original dimensions:

$A1=2[(25cm)(20cm)+(35cm)(25cm)+(35cm)(20cm)]\\A1=4150cm^{2}$

3. If you multiply the length, width, and height by $\frac{1}{5}$ , you obtain the following area:

$l=(\frac{1}{5})(35cm)=7cm\\w=(\frac{1}{5})(25cm)=5cm\\h=(\frac{1}{5})(20cm)=4cm$

$A2=2[(5cm)(4cm)+(7cm)(5cm)+(7cm)(4cm)]\\A2=166cm^{2}$

(The area decreases)

Therefore, the answer is: The area decreases from 4150 cm² to 166 cm².

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teasleycarl53

24.08.2020

1627415600 dollars.

Step-by-step explanation:

Given that:

P = 961400

ΔP/ΔT = 9200

I = 30593

ΔI/ΔT = 1400

c = P×I

ΔC/ΔT = P(ΔI/ΔT) + I(ΔP/ΔT)

= 961400 × 1400 + 30593 × 9200

= 1627415600

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