Question

miguel has an aquarium in the shape of a rectangular prism. the base is 38.25 inches long and 12.5 inches wide. the aquarium is 12.75 inches high. what is the volume of the aquarium to the nearest cubic inch?
the volume of the aquarium is (\boxed{quad}) cubic inches.

Explanation:

Step1: Recall volume formula for rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height.

Step2: Substitute given values

Here, \( l = 38.25 \) inches, \( w = 12.5 \) inches, and \( h = 12.75 \) inches. So, \( V = 38.25 \times 12.5 \times 12.75 \).

Step3: Calculate the product

First, calculate \( 38.25 \times 12.5 \): \( 38.25 \times 12.5 = 478.125 \). Then, multiply this result by \( 12.75 \): \( 478.125 \times 12.75 = 6096.09375 \).

Step4: Round to nearest cubic inch

Rounding \( 6096.09375 \) to the nearest whole number gives \( 6096 \).

Answer:

6096