Answer:

lateral s a 5.6 t s a 8 dm 5cm

Verified answer

Answer:

Given :-

• A cube whose edges measures :
• (i) 7 m
• (ii) 5.6 cm
• (iii) 8 dm 5 cm

To Find :-

• What is the volume, lateral surface area and the total surface area of cube ?

Solution :-

❒ Volume of Cube :

As we know that :

✯ Volume of Cube = (a)³ ✯

where,

• a = Edges

➢ (i) 7 m :

➠ Volume of Cube = (7)³

➠ Volume of Cube = (7 × 7 × 7)

➠ Volume of Cube = 343 m³

➢ (ii) 5.6 cm

➠ Volume of Cube = (5.6)³

➠ Volume of Cube = (5.6 × 5.6 × 5.6)

➠ Volume of Cube = 175.616 cm³

➢ (iii) 8 dm 5 cm = 8 dm + 5 cm = (8 × 10) cm + 5 cm = 80 + 5 = 85 cm

➠ Volume of Cube = (85)³

➠ Volume of Cube = (85 × 85 × 85)

➠ Volume of Cube = 614125 cm³

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❒ Lateral Surface Area of Cube :

As we know that :

★ Lateral Surface Area of Cube = 4a² ★

➤ (i) 7 m

➙ LSA of Cube = 4(7)²

➙ LSA of Cube = 4 × 7 × 7

➙ LSA of Cube = 196 m²

➤ (ii) 5.6 cm

➙ LSA of Cube = 4(5.6)²

➙ LSA of Cube = 4 × 5.6 × 5.6

➙ LSA of Cube = 125.44 cm²

➤ (iii) 8 dm 5 cm = 85 cm

➙ LSA of Cube = 4(85)²

➙ LSA of Cube = 4 × 85 × 85

➙ LSA of Cube = 28900 cm²

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❒ Total Surface Area of Cube :

As we know that :

✫ Total Surface Area of Cube = 6a² ✫

➦ (i) 7 m

➪ TSA of Cube = 6(7)²

➪ TSA of Cube = 6 × 7 × 7

➪ TSA of Cube = 294 m²

➦ (ii) 5.6 cm

➪ TSA of Cube = 6(5.6)²

➪ TSA of Cube = 6 × 5.6 × 5.6

➪ TSA of Cube = 188.16 cm²

➦ (iii) 8 dm 5 cm = 85 cm

➪ TSA of Cube = 6(85)²

➪ TSA of Cube = 6 × 85 × 85

➪ TSA of Cube = 43350 cm²

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