Question

8 part a (a) a cube has edges that measure 13 cm each. find the volume of the cube. volume = cm³ part b find the surface area of the cube. surface area = (b) a 78 cm² b 169 cm² c 1014 cm² d 1352 cm²

Explanation:

Step1: Recall cube volume formula

Volume $= s^3$, where $s=13$ cm

Step2: Calculate cube volume

$V = 13^3 = 13\times13\times13 = 2197$

Step3: Recall cube surface area formula

Surface Area $= 6s^2$, where $s=13$ cm

Step4: Calculate single face area

$s^2 = 13^2 = 169$

Step5: Calculate total surface area

$SA = 6\times169 = 1014$

Answer:

Part A: 2197 $\text{cm}^3$
Part B: C. $1014 \text{ cm}^2$