The volume of a cuboid is twice that of a cube. If the dimensions of the cuboid are (8 m × 8 m ×16 m), the total surface area of the cube is:
384 m2
Given:
The volume of a cuboid is double that of a cube.
Height = 16 cm
Width = 8 cm
Length = 8 cm
Used formula:
Volume of a cuboid = Length × Width × Height
Volume of a cube = (side)3
Calculation:
Volume of a cuboid = 8 × 8 × 16
= 1024
Volume of a cuboid = 2 × Volume of a cube
Volume of a cuboid = 2 × (side)3
(side)3 = 1024/2 = 512cm
Side = 8 cm
Total surface area of the cube = 6 × 64
= 384 cm2
∴ The total surface area of the cube is 384 cm2.
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