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Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the total square centimeters of fabric that Sue must use to cover all faces of the ottoman?

Respuesta :

MrRoyal

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:

[tex]Surface\ Area =2(LB + LH + BH)[/tex]

Where L, B and H are the dimensions.

So,

[tex]Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)[/tex]

[tex]Surface\ Area = 2(378 + 315 + 270)[/tex]

[tex]Surface\ Area = 2(963)[/tex]

[tex]Surface\ Area = 2 * 963[/tex]

[tex]Surface\ Area = 1926cm\²[/tex]

Hence, 1926 cm² of fabrics are needed to cover all surfaces.

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