The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
20 cm 10 cm 3 cm

180 cm^2

Step-by-step explanation:

lengthl = 20 cm

widthw = 10 cm

heighth = 3 cm

diagonald = 22.5610283 cm

total surface areaS_tot = 580 cm^2

lateral surface areaS_lat = 180 cm^2

top surface areaS_top = 200 cm^2

bottom surface areaS_bot = 200 cm^2

volumeV = 600 cm^3

Calculations for a rectangular prism:

1. Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l^2 + w^2 + h^2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l^2 + w^2 + h^2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l^2 + w^2 + h^2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d^2 - l^2 - w^2)

V = lwh

S = 2(lw + lh + wh)

Agenda:

l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

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