A cereal box has a height of 10 1/4 in., a length of 6 1/4 in., and a width of 1 1/2 in. What is the volume of the cereal box? Your answer should be a mixed number in simplest form.(1 point)
The volume of the cereal box can be calculated by multiplying the height, length, and width.
Volume = height x length x width
Volume = 10 1/4 in. x 6 1/4 in. x 1 1/2 in.
First, convert all mixed numbers to improper fractions:
10 1/4 = 41/4
6 1/4 = 25/4
1 1/2 = 3/2
Now multiply the fractions:
Volume = (41/4) x (25/4) x (3/2)
Volume = (41 x 25 x 3) / (4 x 4 x 2)
Volume = 3075 / 32
Now simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 1:
Volume = 3075 / 32
Volume = 96 3/32 in³
Therefore, the volume of the cereal box is 96 3/32 in³ in simplest form.