kristenwilliams954 kristenwilliams954
  • 02-07-2020
  • Mathematics
contestada

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

Respuesta :

Newton9022 Newton9022
  • 07-07-2020

Answer:

480 Cubic inches

Step-by-step 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.

[tex]5x \times 4x=80\\20x^2=80\\x^2=4\\x=2[/tex]

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

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