Mathematics
The diagonal of a cube is cm. Find its surface area and volume.
Mensuration
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Answer
Let the side of a cube = a cm and diagonal = d cm.
Given,
Diagonal of cube = cm.
By formula,
Diagonal of cube (d) =
∴
a = 16 cm.
Calculating the total surface area of cube,
Total surface area of cube = 6a2.
= 6 × 162
= 6 × 256
= 1536 cm2.
Calculating the volume of the cube,
Volume of a cube = a3
= 163
= 4096 cm3.
Hence, surface area = 1536 cm2 and volume = 4096 cm3.
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