Question

A right rectangular prism has a length of 3 1/3 yards, a width of 2 1/2 yards, and a height of 4 1/3 yards. What is the volume of the prism?

Answer choices:
A: 10 1/6 cubic yards
B: 24 1/18 cubic yards.
C: 35 1/2 cubic yards.
D: 36 1/9 cubic yards.

Answer 1

A because they have a common denominator also it has to be the least common denominator which is 6

Answer 2

The volume of the given prism is 36 1/9 cubic yards.

To find the volume of a right rectangular prism, you multiply the length, width, and height.

The length is 3 1/3 yards, the width is 2 1/2 yards, and the height is 4 1/3 yards.
Volume = Length x Width x Height
Volume = (3 1/3) x (2 1/2) x (4 1/3)
To make the calculations easier, convert the mixed numbers to improper fractions:
Volume = (10/3) x (5/2) x (13/3)
Volume = (10 x 5 x 13) / (3 x 2 x 3)
Volume = 325/9
Volume = 36 1/9 cubic yards
Therefore, the correct answer is: D: 36 1/9 cubic yards.