Find the volume of the rectangle prism. Write your answer in simplest form. 3/5yd 1/3yd 4/7yd
To find the volume of a rectangular prism, we need to multiply the length, width, and height.
Given that the length is 3/5 yd, the width is 1/3 yd, and the height is 4/7 yd, the volume can be calculated as follows:
Volume = Length × Width × Height
Volume = (3/5 yd) × (1/3 yd) × (4/7 yd)
To simplify this expression, we can multiply the numerators and denominators separately.
Volume = (3/5) × (1/3) × (4/7)
Volume = (3 × 1 × 4) / (5 × 3 × 7)
Volume = 12 / 105
Therefore, the volume of the rectangular prism is 12/105 cubic yards.
To find the volume of a rectangular prism, we need to multiply the length, width, and height of the prism.
Given:
Length = 3/5 yd
Width = 1/3 yd
Height = 4/7 yd
To multiply fractions, we multiply the numerators together and then multiply the denominators together.
Volume = (3/5) * (1/3) * (4/7)
Multiplying the numerators (3 * 1 * 4) gives us 12.
Multiplying the denominators (5 * 3 * 7) gives us 105.
The volume in simplified form is 12/105 cubic yards.
To find the volume of a rectangular prism, you need to multiply its three dimensions: length, width, and height.
In this case, the dimensions given are:
Length = 3/5yd
Width = 1/3yd
Height = 4/7yd
To multiply fractions, you need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom). The product of the numerators will be the numerator of the result, and the product of the denominators will be the denominator of the result.
So, to find the volume:
Volume = Length × Width × Height
Volume = (3/5yd) × (1/3yd) × (4/7yd)
Now, let's simplify the expression before multiplying the fractions.
To simplify, we can cancel out common factors across the numerators and denominators.
For example:
The factors of 3/5 are 1 and 3, and the factors of 1/3 are 1 and 3. Therefore, we can cancel out a factor of 3 from the numerator and the denominator.
Similarly, the factors of 4/7 are 1 and 4, and the factors of 1/3 are 1 and 4. Therefore, we can cancel out a factor of 4 from the numerator and the denominator.
After simplification, the expression becomes:
Volume = (1/5yd) × (1/1yd) × (1/7yd)
Now, we can multiply the fractions:
1/5 × 1/1 × 1/7 = 1/35
Hence, the volume of the rectangular prism is 1/35 cubic yards, in simplest form.