Question

The base area of a cuboidal box is 1.5m². If the height of the box is 80cm, what will be it's volume? *​

Answer 1

Answer:

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Answer 2

Answer:

For the cubical box

          ∵Edge of the cubical box = 10 cm

          ∴ Lateral surface area = 4a2

                = 4 × 102 cm2

                = 4 × 100 cm2

                = 400 cm2

          Total surface area = 6a2

          = 6 × 102 = 6 × 100 cm2

          = 600 cm2

          ∵For the cuboidal box, l = 12.5 cm, b = 10 cm, h = 8 cm

          ∴ Lateral surface area = 2[(l + b)] × h

                = 2[12.5 + 10] × 8 cm2

                = 2[22.5 × 8] cm2

                = 360 cm2

          Total surface area = 2[lb + bh + hl]

          = 2[(12.5 × 10) + (10 × 8) + (8 × 12.5)] cm2

          = 2[125 + 80 + 100] cm2

          = 2[305] cm2 = 610 cm2

          Obviously,

          (i) ∵ 400 cm2 > 360 cm2 and 400 – 360 = 40

                ∴ The cubical box, has greater lateral surface area by 40 m2.

          (ii) ∵ 610 cm2 > 600 cm2 and 610 – 600 = 10

                ∴The cuboidal box has greater total surface area by 10 m2

Step-by-step explanation: