## 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

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?

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

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1 month 2021-09-14T23:56:17+00:00 2 Answers 0 views 0

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:

2. ## 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 ::-

• Length of cuboid = 12.5cm
• Height of cuboid = 8cm

## To find ::-

• Which box has the greater lateral surface area and by how much?
• Which box has the smaller total surface area and by how much?

## Solution ::-

(a) = 10 cm

### Lateral surface area

= = 4 x  = 400 ## _______

### Total surface area

= = 6 x  = 600 ## ________

### For the cuboidal box with dimensions,

• Length (l) = 12.5 cm,
• Breadth (b) = 10 cm,
• Height (h) = 8 cm

### ∴ 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 ## = 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 