ItsYourShreya
Answered

The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW?​

Answer :

MrRoyal

The height of the TV box is 40 centimeters

The given parameters are:

Volume (V) = 30,000 cubic centimeters

Length (L) = 4 * Height (H) - 10

Width (W) < Height (H)

From the above parameters, we have:

V = 30000

L = 4H - 10

W < H

The volume of a box is calculated as:

V = LWH

Substitute known values

(4H - 10) * W * H = 30000

Divide through by 2

(2H - 5) * WH = 15000

Using a graphing calculator, we have the following solution

(H,W) = (40,5)

By comparison, we have:

H = 40 and W = 5

Hence, the height of the TV box is 40 centimeters

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