A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number. Use the large 14 x 7 cm rectangles on the top and bottom as the bases. 35 cm2; 364 cm2. 70 cm2; 364 cm2. 35 cm2; 266 cm2. 70 cm2; 266 cm2.

Given:
Length 14 cm
Width 7 cm
Heigth 1.66 cm

Lateral area = 2lh + 2wh
LA = 2(14cm)(1.66cm) + 2(7cm)(1.66cm)
LA = 46.48 cm² + 23.24 cm²
LA = 69.72 cm²

Surface area = 2(wl + hl + hw)
SA = 2(7cm*14cm) + 2(1.66cm*14cm) + 2(1.66cm*7cm)
SA = 196 cm² + 46.48 cm² + 23.24 cm²
SA = 265.72 cm²

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akposevictor akposevictor · Answer 2 · 2022-05-11T10:50:26+02:00

Lateral area of the rectangular prism box = 69.72 cm²

Surface area of the rectangular prism box = 265.72 cm²

What is the Surface Area of a Rectangular Prism?

Surface area = 2(wl + hl + hw)

Given the parameters:

l = 14 cm
w = 7 cm
h = 1.66 cm

Lateral area of the rectangular prism box = 2lh + 2wh = 2(14)(1.66) + 2(7)(1.66)

Lateral area of the rectangular prism box = 69.72 cm²

Surface area of the rectangular prism box = 2(wl + hl + hw) = 2(7×14) + 2(1.66×14) + 2(1.66×7)

Surface area of the rectangular prism box = 265.72 cm²

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