Question

if the lateral surface area of a cube is 253 cm square and its volume is

Answer 1

Answer:

For a cube, the lateral surface area would be the area of the four sides. If the edge of the cube has length a, the area of one square face Aface = a ⋅ a = a2. Thus the lateral surface of a cube will be the area of four faces: 4a2.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given :-

The lateral surface area of a cube is 253 sq.cm

To find:-

its volume

Solution:-

The lateral surface area of a cube =253sq.cm

=>4 a^2 = 253

=>a^2=253/4

=>a=√(253/4)

=>a=√253/2 cm

Side of the cube =√253/2 cm

Volume of a cube =a^3 cubic units

V=(√253/2)^3

V=(253×√253)/8 cubic cm

V=253/8(√253) cubic cm

V=253/8( 15.91) cubic cm

V=4025.23/8 cubic cm

V=503.15 cubic cm ( approximately)