Question

What is the volume of the cereal box in cubic inches

Answer 1

(a) 1870 cubes; (b) 233¾ in³

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:

`(11 )/(1 )* (17 )/(2 ) * (5 )/(2 )`

Multiply the numerators and multiply the denominators

`(11 * 17 * 5 )/(4 ) = (935 )/(4 )`

Convert the answer back to a mixed number

`(935 )/( 4) =\text{233r3}` (233 with a remainder of 3)

The volume of the box is 233¾ in³.