Question

Find the area of base of box of height 5 cm and lateral surface area 125 cm square if it's lenght is twice it's breadth .​

Answer 1

Answer:

Area = 868.1 cm²

Step-by-step explanation:

Lateral Surface area = Perimeter of the base x height

We know that:

lateral surface area = 125 cm²

height = 5 cm

Find Perimeter:

Lateral surface area = Perimeter x Height

125 = Perimeter x 5

Perimeter = 125 ÷ 5

Perimeter = 25 cm

We know that:

Length is twice its breadth

Perimeter = 25 cm

Define the perimeter with reference to the breadth:

Perimeter = 2(Length + Breadth)

Let breadth = x

Perimeter = 2(2x + x)

Perimeter = 2(3x)

Perimeter = 6x

Find the breadth:

Perimeter = 6x

6x = 125

x = 20.83 cm

Find the length

Length = Twice the breadth

Length = 20.83 x 2 = 41.67

Find the area:

Area = Length x Breadth

Area = 20.83 x 41.67

Area = 868.1 cm²