Question

A rectangular prism has a length of $\frac{5}{6}$ 5 6​​ inch and a width of 3 fifths$\frac{3}{5}$ 3 5​​ inch. The volume of the prism is 2 thirds$\frac{2}{3}$ 2 3​​ cubic inch. Find the height of the prism. Write your answer as a fraction or mixed number in simplest form.

Answer 1

Answer:

The height of the rectangular prism

= 1 1/3 inches

Step-by-step explanation:

The volume of a rectangular prism = Length × Width × Height

From the question:

Length of 5/6​​ inch

Width of 3 /5​​ inch.

The volume of the prism is 2 /3​​ cubic inch.

Find the height of the prism.

Hence:

2/3 = 5/6 × 3/5 × Height

2/3 = 1/2 × Height

Divide both sides by 1/2

Height = 2/3 ÷ 1/2

Height = 2/3 × 2

Height = 4/3 inches = 1 1/3 inches

Therefore, the height of the rectangular prism = 1 1/3 inches