Volume

Directions: A rectangular prism has a volume of 144 cubic units and a base of 48 square units. What could the possible dimensions be?

Hint

How can my understanding of factors help me solve this problem?

Answer

There are a several possible dimensions that fit this criteria.
One possible answer is 8 x 6 x 3

Source: Stem Savvy Girls

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21 comments

  1. 3x6x8 or 8x6x3

  2. 12x4x3
    24x2x3

  3. [24×2]x3
    [12×4]x3

  4. (12 x 4) x 3

    (You do not need the brackets)

  5. (2^4 x 3^2)

  6. Rudolf Österreicher

    In the integers:
    length × width × height = 1×48×3, 2×24×3, 3×16×3, 4×12×3 and 6×8×3, as well as all their permutations.

    In the rational numbers, there are an infinite number of solutions. The height has to be 3, because volume = base * height => 144 = 48 * h, but the rectangle that is the base with an area of 48 square units can have any length a and width b = 48/a.

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