Question

2 A cube and a cylinder have the same surface area. If the cube has an
edge length of 6cm and the cylinder a radius of 2 cm, calculate:
a the surface area of the cube,
b the height of the cylinder.​

Answer 1

Answer:

$a(cube) = 6 {l}^{2} \\ a(cylinder) = \pi {r}^{2} h \\ it \: is \: given \: that........... \\ a(cube) = a(cylinder) \\ 6 {l}^{2} = \pi {r}^{2} h \\ 6 \times {6}^{2} = 3.14 \times {2}^{2} \times h \\ 216 = 3.14 \times 4 \times h \\ h = \frac{216}{3.14 \times 4} \\ h = 17.97 \: or \: aproximately \\ h = 18 \: cm \\ now.............. \\ a(cube) = 6 {l}^{2} \\=6* 6^2 \\ = 6 \times 36 \\ = 216$

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