document.write( "Question 934741: You work for the BeeSwaks Candle Company and have been asked to update two of the company’s earliest candle designs, the Brick and the Egyptian. The original Brick was a cube 8 centimeters on a side. The original Egyptian was a pyramid 21 centimeters tall with a square base 10 centimeters on a side.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Improvements in the manufacturing process have made it possible to change the design of these candles for a fresh new look and improved profit. You have been asked to work within the following guidelines:\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The Brick:\r
\n" );
document.write( "\n" );
document.write( "Shape- rectangular prism\r
\n" );
document.write( "\n" );
document.write( "Base- dimensions can vary, but it must be a square \r
\n" );
document.write( "\n" );
document.write( "Height- 1 cm less than the side length of the base\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The Pyramid: \r
\n" );
document.write( "\n" );
document.write( "Shape- right square pyramid\r
\n" );
document.write( "\n" );
document.write( "Base- same dimensions as base of the Brick\r
\n" );
document.write( "\n" );
document.write( "Height- 21 cm\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Question: Create a labeled diagram of the Brick. Use x to represent the length of a side of the base of the candle. Then write an equation for the volume of the candle in terms of x. Write the polynomial in standard form.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Volume of a pyramid= (1/3)Area of the base x Height
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #568716 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! Drawing the picture easier done on paper than through sophisticated software and posting to an image hosting service. \n" ); document.write( "The formulas for the volumes are easily done here.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BRICK VOLUME: \n" ); document.write( "The two bottom dimensions are each x. \n" ); document.write( "Volume is \n" ); document.write( "Standard form is probably \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "PYRAMID VOLUME: \n" ); document.write( "You already have the basic formula so this should be no trouble. \n" ); document.write( "Volume is \n" ); document.write( "simplifiable to \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |