Question

Sing to your answers and simplify your answers whenever possible. 1. A shipping company offers various sized shipping boxes to its customers. Some of these boxes are cube-shaped, with equal height, width, and depth. As part of an upcoming sales promotion, the company will offer two cube-shaped boxes for the price of one. a. Write an expression to represent the total volume of two different sized boxes as a sum of cubes if one of the boxes has sides with a length of 1 foot and the other has sides with a length of x feet. b. Factor the sum of cubes. C. Calculate the total volume of the two boxes if x = 3 feet.

Answer 1

Solution-

As we know, volume of a cube of side = x ) = x 3. and a tb carb) Carab +5) 10: (a) Total volume = 3 + x3 (b) (13 +(2)3 = (1+x) C i pec) + x²) (13 +(x)} = (1+ 2) (1-2+x2) (c) when x = 3 feet Total volume = 3 + (33 = 1+ 27 = 28 feet". @ Las Total volume = (4)3 + m3 (b) (48 + (m} = (4+ m) (47_148m) + m²) 2 (4 + (m3 = (44 m) (16 +4m + m²) © when me 5 centimeters Tolát volume =(43+(5) = 64+125 = 189 cm3