Question

The surface area of a cube is 1,176 cm
Find :
a. The length of its edges
a. The area of space diagonal

Answer 1

Answer:

TSA of cube = 1176 cm²

6 × (Edge)² = 1176

Edge² = 1176/6

Edge² = 196

Edge = ✓196 = 14 cm

Therefore,

Volume of cube = (Edge)³

=> (14)³ cm³

=> 2744 cm³

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Answer 2

Answer:

6$a^{2}$=1176

$a^{2}$=196

a=16cm

length of diagonal=16$\sqrt{3}$

area=$a^{2}$

area= 16$\sqrt{3}$*16$\sqrt{3}$

area=196*3

area=588cm