Question

The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and width of the prism be?Explain your solution strategy

Answer 1

The answer to your question is below

Explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

54 2

27 3

9 3

3 3

1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

Length Width

2 x 3 = 6 and 3 x 3 = 9

or 2 x 3 x 3 = 18 and 3 x 1 = 3

or 3 x 3 x 3 = 27 and 2 x 1 = 2