Question

The ratio of the length to the breadth to the length of a tin is 5:4:3. The bottom area of the tin is 80 square inches. What is the volume of the tin

Answer 1

480 Cubic inches

Explanation:

Length:Breadth:Height = 5:4:3.

Let the Length of the Tin =5x

Breadth of the Tin =4x

Since the bottom area of the tin is 80 square inches.

`5x * 4x=80\\20x^2=80\\x^2=4\\x=2`

Therefore:

Length of the Tin =5 X 2 =10 inches

Breadth of the Tin =4 X 2 =8 Inches

Height of the Tin =3 X 2=6 Inches

Volume of the Tin = Length X Breadth X Height

=10 X 8 X 6

=480 Cubic inches