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Svetach [21]
3 years ago
7

Please answer this correctly

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

Answer:

502 m²

Step-by-step explanation:

We require to find b before calculating the surface area.

The volume (V) of a cuboid is calculated as

V = lbh ( l is length, b is breadth and h is height )

Here V = 510, l = b, b = 10 and h = 3, thus

b × 10 × 3 = 510

30b = 510 ( divide both sides by 30 )

b = 17

--------------------------

The opposite faces of a cuboid are congruent, thus

top/bottom area = 2(17 × 10) = 2 × 170 = 340 m²

front/back area = 2(17 × 3) = 2 × 51 = 102 m²

sides area = 2(10 × 3) = 2 × 30 = 60 m²

Surface area = 340 + 102 + 60 = 502 m²

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