Find the unknown dimension width 5 1/2 ft 3 1/4 ft volume 143 ft3
What kind of figure?
If you think about rectacangular prism:
V=a*b*c
a,b,c sides of prism
a=5 1/2= 2*5/2 +1/2 =10/2 + 1/2 = 11/2
b=3 1/4= 3*4/3 + 1/4=12/4 +1/4 =13/4
143=11/2 * 13/4 *c
143=143/8 * c Multiply with 8
143*8= 143*c Divide with 143
8=c
c=8 ft
V=a*b*c=11/2 * 13/4 * 8= 11*13*8 / 2*4 =
1144 / 8 = 143 ft^3
One correction:
b=3 1/4= 3*4/4 + 1/4=12/4 +1/4 =13/4
To find the unknown dimension, we need to use the formula for the volume of a rectangular prism, which is:
Volume = Length × Width × Height
Given the values you have provided, we know that the length is 5 1/2 ft (or 5.5 ft) and the height is 3 1/4 ft (or 3.25 ft), and the volume is 143 ft³. We need to solve for the width.
Since we know the volume and the other two dimensions, we can rearrange the formula to solve for the width:
Width = Volume / (Length × Height)
Now, let's substitute the known values into the formula:
Width = 143 ft³ / (5.5 ft × 3.25 ft)
To simplify the calculation, divide the numerator by the denominator:
Width ≈ 143 ft³ / 17.875 ft² ≈ 7.9999 ft
Rounding to the nearest tenth, the width is approximately 8 ft.
Therefore, the unknown dimension (width) is approximately 8 ft.