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Mathematics 23 Online
OpenStudy (annalee607):

What are the lateral and surface area of the box to the nearest whole number? Use the large 15cm X 6cm rectangles on top and bottom as the bases.

OpenStudy (annalee607):

OpenStudy (anonymous):

lateral area=2(21+6)*2.26=? surface area of top and bottom=2*21*6+/

OpenStudy (annalee607):

122.04

OpenStudy (annalee607):

for the first one?

OpenStudy (annalee607):

That was not one of my choices

OpenStudy (annalee607):

Anyone?

hartnn (hartnn):

lateral surface area is the total area without the floor and roof area. or we can say, the area of all the walls.

hartnn (hartnn):

so, for lateral surface area we need area of 4 walls, can you identify the dimensions of the walls?

hartnn (hartnn):

All the faces are rectangular, so the area would be product of the sides. All you need to find is the which sides do we consider for walls.

OpenStudy (annalee607):

2.26 15 6

hartnn (hartnn):

2.26 is the height. so the walls are : 2 with dimensions 15X2.26 and 2 with dimensions 6X2.26

hartnn (hartnn):

lateral area = 2 (15*2.26 + 6*2.26) or 2*2.26* (15+6) = ...

OpenStudy (annalee607):

109.2

hartnn (hartnn):

well, my calculator says 2*2.26* (15+6) = 94.92

OpenStudy (annalee607):

okay

hartnn (hartnn):

which is 95 to the nearest whole number.

OpenStudy (annalee607):

Thank you. Will you help me with the second part

hartnn (hartnn):

the total surface area is sum of all six faces. the 4 walls + floor + top we already know the lateral area(4 walls)

hartnn (hartnn):

the top and bottom rectangles are 15X6 each. so just add 2*15*6 to your answer of lateral area to get total area :)

OpenStudy (annalee607):

275?

hartnn (hartnn):

yup :)

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