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2 years ago

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

Mathematics

2 answers:

Oksanka [162]2 years ago

7 0

Answer:

b = 49 cm

Step-by-step 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

leonid [27]2 years ago

5 0

Answer:

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!

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