Question

14. Find the length of each edge of a cube ,if its total surface area is
384centimeter square *
3 poin​

Answer 1

Given

• Total surface area of the cube is 384cm².

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To find

• Length of each edge of cube.

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Solution

• We have the total surface area of the cube and need to find the length of each edge of the cube.

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☆ TSA = 6a²

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Here,

• a = edge of the cube.

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→ TSA = 384

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→ 6a² = 384

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→ a² = 384/6

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→ a² = 64

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→ a = √64

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→ a = 8

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Hence,

• Length of each edge of the cube is 8cm.

Answer 2

Answer:

Question:-

1. Find the volume of a cube whose total surface area is 384 cm².

To find,

• The length of each edge of a cube

Solution:-

⟹ Total surface area of a cube = 6a² = 384 cm²

= 6a² = 384

${a}^{2} = \frac{384}{6} \\ a = \sqrt{64} = 8 \: cm \\ a = 8$

Volume of a cube = a³

= (8)³ = 8 × 8 × 8

= 64 × 8 = 512 cm³

Required answer:-

• 512 cm³ and 8