Question

A water jug is in the shape of a prism. The area of the base is 100 square inches and the height is 20 inches. How many gallons of water will the water jug hold? (1 gal= 231 inches squared) Round your answer to the nearest tenth.​

Answer 1

8.7gal

Step-by-step explanation

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Answer 2

`\boxed{\text{8.7 gal}}`

Explanation:

The volume V of a prism is the area of the base b times the height h.

V=bh

Step 1. Calculate the volume of the prism.

Data:

b = 100 in²

h = 20 in

Calculation:

V = 100 in² × 20 in =2000 in³

Step 2. Convert cubic inches to gallons

1 gal = 231 in³

`V = \text{2000 in}^(3) * \frac{\text{1 gal}}{\text{231 in}^(3)}} = \textbf{8.7 gal}\\\\\text{The water jug will hold } \boxed{\textbf{8.7 gal}}`