Question

The sides of a cuboid are in the ratio 5:2:1. It’s volume is 1250m.whatis it’s total surface area

Answer 1

Answer:

850 cm²

Step-by-step explanation:

Ratio = 5 : 2 : 1

Define x:

Let x be the constant ratio

Ratio = 5x : 2x : 1x

Solve x:

Volume = Length x Breadth x Height

(5x)(2x)(1x) = 1250 m³

10x³ = 1250

x³ = 125

x = ∛125

x = 5

Find the sides:

Length = 5x = 5(5) = 25 cm

Breadth = 2x = 2(5) = 10 cm

Height = x = 5 cm

Find the total surface area:

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

Total surface area = 2(25 x 10 + 10 x 5 + 25 x 5) = 850 cm²

Answer: The total surface area is 850 cm²

Answer 2

volume of cuboid =lbh
1250=10x³
x³=125
x=5,
5x=25,2x=10

t.s.a=2(lb+BH+lh)
=2(25*10+10*1+25*1)
=2(250+10+25)
=2(285)