Q:

What is the volume of the cereal box in cubic inches

Accepted Solution

A:
Answer:(a) 1870 cubes; (b) 233¾ in³  Step-by-step explanation:Data:  l = 11     in w =  8½ in h =   2½ in (a) Volume of box in cubes Convert each dimension of the box to cubes  l = 11      ÷ ½ = 11     × 2             = 22 cubes w =   8½ ÷ ½ =  8½ × 2 = 16 + 1 = 17 cubes h =    2½ ÷ ½ =  2½ × 2 =  4 + 1 =   5 cubes Calculate the volume of the box V = lwh = 22 × 17 × 5 = 1870 cubes The box can contain 1870 cubes. (b) Volume of box in cubic inches Calculations: V = 11 × 8½ × 2½ Convert each number to an improper fraction:  [tex]\frac{11 }{1 }\times \frac{17 }{2 } \times \frac{5 }{2 }[/tex] Multiply the numerators and multiply the denominators [tex]\frac{11 \times 17 \times 5 }{4 } = \frac{935 }{4 }[/tex] Convert the answer back to a mixed number [tex]\frac{935 }{ 4} =\text{233r3}[/tex] (233 with a remainder of 3) The volume of the box is 233¾ in³.