Math, asked by SHarwan8199, 8 months ago

Exercise B
1. Check which of the following numbers are perfect cubes using the method of prime
factorisation.
a) 86400
d) 110592
b)1728
e)166375
c) 343000
f) 60000

Answers

Answered by rohin111bhattacharya

Answer:

$<!DOCTYPE html></p><p></p><p><html lang="en"></p><p></p><p><head></p><p></p><p><meta charset="UTF-8"></p><p></p><p><meta name="viewport" content="width=device-width, initial-scale=1.0"></p><p></p><p><title>Arc reacter</title></p><p></p><p><link rel="stylesheet" href="design.css" /></p><p></p><p></head></p><p></p><p><body></p><p></p><p><div class="fullpage-wrapper"></p><p></p><p><div class="reactor-container"></p><p></p><p><div class="reactor-container-inner circle abs-center"></div></p><p></p><p><div class="tunnel circle abs-center"></div></p><p></p><p><div class="core-wrapper circle abs-center"></div></p><p></p><p><div class="core-outer circle abs-center"></div></p><p></p><p><div class="core-inner circle abs-center"></div></p><p></p><p><div class="coil-container"></p><p></p><p><div class="coil coil-1"></div></p><p></p><p><div class="coil coil-2"></div></p><p></p><p><div class="coil coil-3"></div></p><p></p><p><div class="coil coil-4"></div></p><p></p><p><div class="coil coil-5"></div></p><p></p><p><div class="coil coil-6"></div></p><p></p><p><div class="coil coil-7"></div></p><p></p><p><div class="coil coil-8"></div></p><p></p><p></div></p><p></p><p></div></p><p></p><p></div></p><p></p><p><style></p><p></p><p>body { margin: 0; } .fullpage-wrapper { width: 100%; height: 100vh; background: radial-gradient(#353c44, #222931); display: flex; } .reactor-container { width: 300px; height: 300px; margin: auto; border: 1px dashed #888; position: relative; border-radius: 50%; background-color: #384c50; border: 1px solid rgb(18, 20, 20); box-shadow: 0px 0px 32px 8px rgb(18, 20, 20), 0px 0px 4px 1px rgb(18, 20, 20) inset; } .reactor-container-inner { height: 238px; width: 238px; background-color: rgb(22, 26, 27);; box-shadow: 0px 0px 4px 1px #52FEFE; } .circle { border-radius: 50%; } .abs-center { position: absolute; top: 0; right: 0; bottom: 0; left: 0; margin: auto; } .core-inner { width: 70px; height: 70px; border: 5px solid #1B4E5F; background-color: #FFFFFF; box-shadow: 0px 0px 7px 5px #52FEFE, 0px 0px 10px 10px #52FEFE inset; } .core-outer { width: 120px; height: 120px; border: 1px solid #52FEFE; background-color: #FFFFFF; box-shadow: 0px 0px 2px 1px #52FEFE, 0px 0px 10px 5px #52FEFE inset; } .core-wrapper { width: 180px; height: 180px; background-color: #073c4b; box-shadow: 0px 0px 5px 4px #52FEFE, 0px 0px 6px 2px #52FEFE inset; } .tunnel { width: 220px; height: 220px; background-color: #FFFFFF; box-shadow: 0px 0px 5px 1px #52FEFE, 0px 0px 5px 4px #52FEFE inset; } .coil-container { position: relative; width: 100%; height: 100%; animation: 3s infinite linear reactor-anim; } .coil { position: absolute; width: 30px; height: 20px; top: calc(50% - 110px); left: calc(50% - 15px); transform-origin: 15px 110px; background-color:#073c4b; box-shadow: 0px 0px 5px #52FEFE inset; } .coil-1 { transform: rotate(0deg); } .coil-2 { transform: rotate(45deg); } .coil-3 { transform: rotate(90deg); } .coil-4 { transform: rotate(135deg); } .coil-5 { transform: rotate(180deg); } .coil-6 { transform: rotate(225deg); } .coil-7 { transform: rotate(270deg); } .coil-8 { transform: rotate(315deg); } @keyframes reactor-anim { from { transform: rotate(0deg); } to { transform: rotate(360deg); } }</p><p></p><p></style></p><p></p><p></body></p><p></p><p></html>$ $<!DOCTYPE html> <html lang="en"> <head> <title>Bts army bomb</title> </head> <body> <div id="container" class="army-bomb-container"> <div id="handle" class="handle"> <div id="army-bomb" class="army-bomb"/> </div> <style> body { background: linear-gradient(45deg, #FBCCB7, #EFAAC9, #CCB6D9, #A2C8ED); width: 100vh; height: 300px; } .army-bomb-container { position: fixed; left: 50%; top: 50%; transform: translateX(-50%) translateY(-30%); } .handle { position: relative; height: 200px; width: 50px; background-color: black; z-index: 0; } /* top of the army bomb drawn using pseudo elements on the handle (so that it is drawn behind the glowing animation) */ .handle:before { position: absolute; left: 132.5%; top: -30%; width: 30px; height: 10px; background-color: black; transform: rotate(45deg); z-index: -1; content: ""; } .handle:after { position: absolute; left: 168.5%; top: -31.5%; width: 3px; height: 5px; background-color: red; transform: rotate(45deg); z-index: -1; content: ""; } .army-bomb { position: relative; left: 50%; transform: translateX(-50%) translateY(-50%); width: 150px; height: 150px; background-color: white; border-radius: 75px; animation: light-up 3s infinite ease-in-out; } /* BTS logo drawn using pseudo elements of the army bomb */ .army-bomb::before { position: absolute; top: 160%; left: 34%; border-bottom: 10px solid white; border-left: 10px solid transparent; border-right: 10px solid transparent; height: 0; width: 15px; transform: rotate(90deg); content: ""; } .army-bomb::after { position: absolute; top: 160%; right: 34%; border-bottom: 10px solid white; border-left: 10px solid transparent; border-right: 10px solid transparent; height: 0; width: 15px; transform: rotate(-90deg); content: ""; } /* glowing animation */ @keyframes light-up { 0% { box-shadow: 0px 0px 50px 1px white; } 50% { box-shadow: 0px 0px 50px 30px white; } 100% { box-shadow: 0px 0px 50px 1px gwhite; } } </style> </body> </html>$

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Exercise B1. Check which of the following numbers are perfect cubes using the method of primefactorisation.a) 86400d) 110592b)1728e)166375c) 343000 f) 60000​

Answers

Exercise B
1. Check which of the following numbers are perfect cubes using the method of prime
factorisation.
a) 86400
d) 110592
b)1728
e)166375
c) 343000
f) 60000