A school’s trophy case is a rectangular prism with a height of 3.5 feet. If the width of the base is 1.8 feet and the volume of the trophy case is 81.9 cubic feet, how long is the base?

Respuesta :

Answer:

13 feet

Step-by-step explanation:

To find the length of the base of the trophy case, we can use the formula for the volume of a rectangular prism:

Volume = length × width × height

Given:

- Height = 3.5 feet

- Width = 1.8 feet

- Volume = 81.9 cubic feet

We need to find the length (L) of the base.

Using the formula:

81.9 = L × 1.8 × 3.5

Now, let's solve for L:

L = 81.9 / (1.8 × 3.5)

L = 81.9 / 6.3

L ≈ 13 feet

So, the length of the base of the trophy case is approximately 13 feet.

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