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cuboidal box is to as 12.5 CM Long. 10cm and 8 CM high. 1 which box has the greater lateral surface and by how much?

Question

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## Answers ( )

Answer:A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cmwide and 8 cm 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? difference=600-592=8cm2.

Step-by-step explanation:hope it will be helpful and please mark as brainlist and follow please

## Question ::-

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

## Given ::-

12.5cm8cm## To find ::-

## Solution ::-

## For the cubical box with edge

(a) = 10 cm

## Lateral surface area

=

= 4 x

= 400

## _______

## Total surface area

=

= 6 x

= 600

## ________

## For the cuboidal box with dimensions,

## ∴ Lateral surface area

= 2[l + b] x h

= 2[12.5 + 10] x 8

= 360

## __________

## Total surface area

= 2[lb + bh + hl]

= 2[(12.5 x 10) + (10 x 8) + (8 x 12.5)]

= 2[125 + 80 + 100]

= 2[305]

## = 610

___________

## (i) A cubical box has the greater lateral surface area by ::-

(400 – 360)

= 40

## (ii) Total surface area of a cubical box is smaller than the cuboidal box by ::-

(610 – 600)

= 10