What is the volume of the cereal box in cubic inches

(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:  

Multiply the numerators and multiply the denominators

Convert the answer back to a mixed number

(233 with a remainder of 3)

The volume of the box is 233¾ in³.

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