Question

a rectangular prism has a volume of 4,212 cubic yards, width 2 yards, and length 27 yards find it’s height in yards

Answer 1

78 yards

Explanation:

Formula for volume of a rectanguar prism

• Volume = length × width × height

We have the values :

• Volume = 4,212 yd³
• Width = 2 yd
• Length = 27 yd

Substituting the given values into the formula :

• 4,212 = 27 × 2 x height
• height = 4,212/54
• height = 78 yards

Answer 2

height = 78 yd

Explanation:

Formula

Volume of a rectangular prism = width × length × height

Given:

• volume = 4,212 yd³
• width = 2 yd
• length = 27 yd

Substituting given values into the formula and solving for height:

⇒ 4212 = 2 × 27 × height

⇒ 4212 = 54 × height

⇒ height = 4212 ÷ 54

⇒ height = 78 yd