Using the volume formula: volume = length x width x height
You are given volume , length and width:
7/8 = 5/8 x 7/9 x height
Multiply length x width:
7/8 = 35/72 x height
Solve for height by dividing both sides by 35/72
Height = 7/8 / 35/72
Height = 9/5 inches = 1 4/5 inches
Answer:
Step-by-step explanation:
In the question it gives that a rectangle prism has a length of 5/8 inch and a width of 7/9 inch. The volume of the prism is 7/8 cubic inch.
we have to find the value of height of the prism
As we know that
[tex]\pmb{\boxed{Volume=length ×width ×height }}[/tex]
According to the question,
[tex]\dfrac{7}{8}=\dfrac{5}{8}×\dfrac{7}{9}×height \\\\\dfrac{7}{8}=\dfrac{35}{72}×height\\\\height=\dfrac{7}{8}×\dfrac{72}{35}\\\\\bold{height=\dfrac{9}{5}=1\frac{4}{5}}[/tex]
