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The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal

1 Answer

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The sum of the length and width ratio units is 6+2 = 8. Since this stands for 24 cm, each ratio unit stands for 3 cm. The actual dimensions are
18 cm : 6 cm : 21 cm

The surface area (S) is given in terms of length (L), width (W), and height (H) by
S = 2(LW +H(L+W))
= 2((18 cm)*(6 cm) +(21 cm)*(18 cm +6 cm))
= 2(108 cm² +(21 cm)*(24 cm))
= 1224 cm²

The surface area of the box of cereal is 1224 cm².
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