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A rectangular prism is 16 inches wide and 13 inches high. Its volume is 1,913.6 cubic inches. What is the length of the rectangular prism?
length = ◻ inches

A rectangular prism is $16$ inches wide and $13$ inches high. Its volume is $1,913.6$ cubic inches. What is the length of the rectangular prism? $\newline$ length $=$ $\square$ inches

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A rectangular prism is

16

inches wide and

13

inches high. Its volume is

1,913.6

cubic inches. What is the length of the rectangular prism?

\newline

length

=

\square

inches

Understand Formula: Understand the formula for the volume of a rectangular prism. $\newline$ The volume of a rectangular prism can be calculated using the formula: Volume = Length $\times$ Width $\times$ Height. We need to find the Length.
Identify Known Values: Identify the known values from the problem. $\newline$ We know the Width $= 16$ inches, Height $= 13$ inches, and Volume $= 1,913.6$ cubic inches.
Rearrange Formula: Rearrange the volume formula to solve for Length. $\newline$ $Length = \frac{Volume}{(Width \times Height)}$
Substitute Values: Substitute the known values into the rearranged formula. $\newline$ Length $= \frac{1,913.6}{(16 \times 13)}$
Calculate Product: Calculate the product of Width and Height. $\newline$ $16 \times 13 = 208$
Divide Volume: Divide the Volume by the product of Width and Height to find the Length. $Length = \frac{1,913.6}{208}$
Perform Division: Perform the division to find the Length. $Length = \frac{1,913.6}{208} \approx 9.2$

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