Find the Missing Height of a Rectangular Prism

Step-by-step solution

1. Write the volume formula.

   $$V = lwh$$

   Why: The volume of a rectangular prism is length times width times height.

2. Substitute the known values.

   $$60 = 5 \times 4 \times h$$

   Why: The volume and two edge lengths are known.

3. Simplify the base.

   $$60 = 20h$$

   Why: The length times the width gives the area of the base.

4. Divide both sides by 20.

   $$h = 3$$

   Why: Dividing the volume by the base area isolates the height.

Practice problems

Use the same method. Work each problem on paper, then open the answer to check.

1. 1

   $V = 24,\quad l = 3,\quad w = 2$

   Show answer

   $h = 4$

2. 2

   $V = 120,\quad l = 5,\quad w = 6$

   Show answer

   $h = 4$

3. 3

   $V = 48,\quad l = 4,\quad w = 3$

   Show answer

   $h = 4$

4. 4

   $V = 90,\quad l = 5,\quad w = 3$

   Show answer

   $h = 6$

5. 5

   $V = 72,\quad l = 6,\quad w = 4$

   Show answer

   $h = 3$