Question

“ Emma needs to wrap a rectangular box with dimensions 24cm by 54cm by 4cm what is the surface area” pleaseeee help I don’t get it, it’s a question from a math work book

Answer 1

Answer:

  3,216 cm²

Step-by-step explanation:

The question is asking the surface area of a rectangular prism with the given dimension. That area is the sum of the areas of the 6 faces of the prism. Since opposite faces have the same area, we only need to compute 3 areas, then double the sum of those:

  S = 2(LW +LH +WH)

This can be made a little easier to compute by some factoring:

  S = 2(LW +H(L +W))

It does not matter which dimensions are designated length (L), width (W), or height (H).

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  S = 2((24 cm)(54 cm) +(4 cm)(24 cm +54 cm))

  = 2(1296 +4(78)) cm² = 2(1608) cm²

  S = 3216 cm²

The surface area of Emma's rectangular box is 3216 square centimeters.