Question

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 cm^2; 364 cm^2
70 cm^2; 364 cm^2
35 cm^2; 266 cm^2
70 cm^2; 266 cm^2

Answer 1

@terenzreignz

Answer 2

You're given three measures, yes? Length, width and height..

Answer 3

yes

Answer 4

So which is which?
Height is 1.66 cm.

Answer 5

length is 7 width is 14

Answer 6

Okay... formula for surface area is
\[\huge 2(LW + WH + LH)\]

Answer 7

so 2(98 + 23.24 + 11.62)

Answer 8

Yeah, so work that out, and then round off.

Answer 9

ok so then we get

2 (132.86)

Answer 10

Yes...

Answer 11

265.72 or 266

Answer 12

Okay, so that narrows it down to two of your choices, right? :)

Answer 13

right

Answer 14

So, lateral area just takes away the top and bottom rectangles... so you don't consider the LW parts...
so lateral area is just
2(LH + WH)

Answer 15

ok so that makes it
2 (23.24 + 11.62)

Answer 16

Yes...simplify away...

Answer 17

2 (34.86)

Answer 18

69.72 or 70

Answer 19

making it D

Answer 20

There. Now you have a lateral area and a surface area. You know which is the correct answer now, right? :)

Answer 21

Very good.

Answer 22

Remember:
Surface Area = sum of the areas of ALL faces
Lateral Area = sum of the areas of all faces EXCEPT top and bottom (the bases)

Answer 23

can you help me with others if I post them in separate questions

Answer 24

We'll see. Go ahead and post them.

Answer 25

ok thanks