Question

a cuboid has a total surface area of 65cm square and lateral surface area 37cm square. find the area of its base​

Answer 1

Solution!!

The total surface area (TSA) and the lateral surface area (LSA) of the cuboid is given. We have to find the area of its base.

Total surface area (TSA) = 65 cm²

Lateral surface area (LSA) = 37 cm²

We have to remember 3 formulae to find the answer to this question.

→ TSA = 2(lb + bh + hl)

→ LSA = 2(bh + hl)

→ Area of the base = l × b

Here,

l is the length

b is the breadth

h is the height

2(lb + bh + hl) = 65 cm²

2lb + 2bh + 2hl = 65 cm²

2lb + 2(bh + hl) = 65 cm²

2lb + LSA = 65 cm²

2lb + 37 cm² = 65 cm²

2lb = 65 cm² - 37 cm²

2lb = 28 cm²

lb = 28 ÷ 2 cm²

lb = 14 cm²

l × b = 14 cm²

Hence, the area of the base is 14 cm².

Answer 2

Answer:

14cm

Step-by-step explanation:

hope it helped you!!!!