The diagonal of a cube is 16/3cm Find its total surface area and lateral surface
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Answers
Answer:
Diagonal of given cube=16√3cm
now
diagonal of cube=√3a
therefore,16√3=√3a
a=16cm
surface area of cube=6a^2
=6×16×16
=1536 sq.cm
volume of cube=a^3
=16×16×16
=4096 cm cube
Step-by-step explanation:
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Ravaan
Answer:
T.S.A 1536cm²
V = 4096cm³
Step-by-step explanation:
Given: The diagonal of a cube is 16√3 cm.
To find: The surface area and volume.
Solution :
Formula to find diagonal of a cube is D = √3a
We have given D = = 16√3
Substitute in the formula,
16√3 = √3a
a= 16√3 √3
a = 16
The side of the cube is 16 cm.
The total surface area of the cube is T.S.A= 6a²
Side a=16 substitute in the formula,
T.S.A 6 x 16²
T.S.A = 6 x 256
T.S.A 1536cm²
The volume of the cube is V =
Side a-16 substitute in the formula,
V 163
V = 4096cm³