Verified answer

Step-by-step explanation:

The total surface area of cubiod is

[tex] \sf \: 2( l \times b + b \times h + h \times l) \\ \sf \: = 2(30 \times 25+25 \times 20+20 \times 30) \\ \sf \: =2(750+500+600) \\ \sf \: = 2 \times 1850 \\ \sf \: = 3700 {cm}^{2} [/tex]

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Answer:

• The Total surface area of a cuboid is 3150 sq. cm.
• The lateral surface area of the cuboid is 1650 sq. cm.

Step-by-step explanation:

Given:

Length (l) = 30 cm

breadth (b) = 25 cm

Height (h) = 15 cm

Find the total surface area and lateral surface area of a shoebox

The shoebox is cuboid in shape.

Total surface area of cuboid = 2 (lb + bh+ lh)

= 2[30 (25) + 25 (15) + 30 (15)]

= 2[750 + 375 + 450]

= 2[1575]

= 3150 sq. cm.

So, the Total surface area of cuboid is 3150 sq. cm.

Lateral surface area of cuboid = 2h(l + b)

= 2 (15) (30 + 25)

= 30 (55)

= 1650 sq. cm.

So, the lateral surface area of cuboid is 1650 sq. cm.