A cubical box has edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has smaller total surface area?

(ii) If each edge of the cube is doubled, how many times will its T.S.A increase?

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Solution

(i) For the cubical box, we have .

For the cuboidal box, we have

Thus, the cubical box has smaller total surface area.

(ii) If each edge of the cube is doubled, then we have

Thus, the TSA of the cube gets increased by 4 times.

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Similar questions

A cubical box has each edge $10 c m$ and another cuboidal box is $12.5 c m$ long, $10 c m$ wide and $8 c m$ high.

(i) Which box has the greater lateral surface area and by how much?

(ii) Which box has the smaller total surface area and by how much?

10 c m

12.5 c m

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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long ,10 cm wide,and 8 cm high.

1.which box has the greater lateral surface area and by how much?

2.which box has the smaller total surface area and by how much?

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