Question

The volume of this rectangular prism is 48,608 cubic centimeters. What is the value of b?

Answer 1

b = 49 cm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

• v = 48,608 cm³
• l = b cm
• w = 16 cm
• h = 62 cm

Substitute the values above and solve for b:

48,608 = b × 16 × 62

48,608 = 992b

48,608/992 = 992b/992

49 = b

Final answer: 49 cm

Hope this helps!

Answer 2

b = 49 cm

Explanation:

Volume of a rectangular prism = width × length × height

Given:

• volume = 48,608 cm³
• width = 16 cm
• length = b
• height = 62 cm

Substituting the given values into the formula and solving for b:

⇒ 48608 = 16 × b × 62

⇒ 48608 = 992 b

⇒ b = 48608 ÷ 992

⇒ b = 49