10 1/4x6 1/4x1 1/2
The volume of the object with dimensions 10 1/4 x 6 1/4 x 1 1/2 is:
10 1/4 x 6 1/4 x 1 1/2
= 41/4 x 25/4 x 3/2
= (41 x 25 x 3) / (4 x 4 x 2)
= 3075 / 32
≈ 96.09 cubic units
Therefore, the volume of the object is approximately 96.09 cubic units.
simplify
To simplify the volume of the object with dimensions 10 1/4 x 6 1/4 x 1 1/2, we can first convert the mixed numbers to improper fractions:
10 1/4 = (4*10 + 1)/4 = 41/4
6 1/4 = (4*6 + 1)/4 = 25/4
1 1/2 = (2*1 + 1)/2 = 3/2
Now we can multiply the fractions to find the volume:
(41/4) * (25/4) * (3/2)
= (41 * 25 * 3) / (4 * 4 * 2)
= 3075 / 32
So, the volume of the object is 3075/32 cubic units.
make it a mixed number
To convert the improper fraction 3075/32 to a mixed number:
Divide 3075 by 32:
3075 ÷ 32 = 96 with a remainder of 27
Therefore, the improper fraction 3075/32 can be expressed as the mixed number 96 27/32.
So, the volume of the object is 96 27/32 cubic units.