A 4cm edge cube is cut into small cubes of edge 1 cm. Calculate the tsa of the small cubes. Also find the ratio of the tsa of large cube to that of the small cubes.
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Answer:
tsa of the small cubes = 6 cm²
The ratio of the tsa of large cube to that of the small cubes = 16 : 1
Step-by-step explanation:
The surface area of a cube = 6a²,
where a is the length of the side of each edge of the cube.
surface area of cube with 4 cm edge = 6(4)²
= 96 cm²
surface area of cube with 1 cm edge = 6(1)²
= 6 cm²
The ratio of the total surface area of large cube to that of the small cubes
96 : 6
32 : 2
16 : 1
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