Question

HELPPP

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. Find the height of the prism. Write your answer as a fraction or mixed number in simplest form.

Answer 1

• 
  `\pmb{1(4)/(5)~inch }`

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

`\pmb{\boxed{Volume=length ×width ×height }}`

According to the question,

`(7)/(8)=(5)/(8)×(7)/(9)×height \\\\(7)/(8)=(35)/(72)×height\\\\height=(7)/(8)×(72)/(35)\\\\\bold{height=(9)/(5)=1(4)/(5)}`

Answer 2

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