nnaomii
20.10.2019 •
Mathematics
Adepartment store sells small boxes in which customers can store nails. the diagram below shows one of the boxes. the diagram is not drawn to scale. 2.54 cm, 14 cm, 8 cm. what are the lateral area and the surface area of the box to the nearest whole number? use the large 14 cm times 8 cm rectangles on the top and bottom as the bases.
a) 112cm^2 ; 448cm^2
b) 112cm^2 ; 336cm^2
c) 56cm^2 ; 448cm^2
d) 56cm^2 ; 336cm^2
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Ответ:
The lateral area (LA) is the product of the perimeter (P) of the base and the height (h):
LA = Ph
P = 2l + 2w = (2 x 14) + (2 x 8) = 28 + 16 = 44 cm
LA = 44 cm x 2.54 cm = 112 cm²
The surface area (SA) is the sum of all areas:
SA = 2(lw + wh + lh)
SA = 2((14x8) + (8x2.54) + (14x2.54))
SA = 2(112 + 20.32 + 35.56)
SA = 2 * 168
SA = 336 cm²
Thus, the lateral area and the surface area are 112 cm² and 336 cm², respectively.
Ответ:
I think it is A OR D