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.
To find the volume of the cereal box, we multiply the height, length, and width together:
Volume = height x length x width
Volume = (10 1/4) x (6 1/4) x (1 1/2)
First, we convert all the mixed numbers to improper fractions:
10 1/4 = 41/4
6 1/4 = 25/4
1 1/2 = 3/2
Now, we 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
Finally, we simplify the fraction:
3075 รท 32 = 96 r 3/32
The volume of the cereal box is 96 3/32 cubic inches.