Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Divide the figure into a triangle on the left and a rectangle on the right. You know the side lengths of the rectangle are 3 x 10, so multiply to get the area of the rectangle. Next, find the area of the triangle. The area of a triangle is given by 1/2bh, where b is the base and h is the height. Because you know the short side of the rectangle is 3, subtract 3 from 5 to get the base of the triangle. then multiply that by 10, the height, and divide by 2 to get the area of the triangle. Then just add up the area of the triangle and the area of the rectangle to get your answer :)
Answer:
one third of the volume
Step-by-step explanation:
