Acube has a side length of 5 cm. if this cube is enlarged by a scale factor of 2,

a: what is the enlarged cube's side length? show your work and use correct labels.

b: what is the enlarged cube's volume? show your work and use correct labels.

c: what is the enlarged cube's surface area (sa)? show your work and use correct labels.

➷ A) 5 x 2 = 10

The enlarged cube's side length is 10 cm

B) Work out the volume of the original cube:

Volume = 5 x 5 x 5

Volume = 125 cm^3

As it is volume, you have to cube the scale factor

2^3 = 8

Multiply this new scale factor by the volume:

125 x 8 = 1000

The enlarged cube's volume is 1000 cm^3

C) Work out the surface area of the original cube:

S.A = 5 x 5 x 6

S.A = 150 cm^2

As it is area, you have to square the scale factor

2^2 = 4

Multiply this new scale factor by the surface area:

150 x 4 = 600

The enlarged cube's surface area is 600 cm^2

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∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°