Question

safeguard welding company makes rectangular steel tanks for storage of flammable materials. the interior dimensions of a tank are 35.5 feet long, 7.25 feet wide, and 7.5 feet tall. what is the approximate volume of the tank?
a) 50.25 cubic feet
b) 100.5 cubic feet
c) 1,930 cubic feet
d) 3,860 cubic feet

Explanation:

Step1: Recall the volume formula for a rectangular prism

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

Step2: Identify the given dimensions

We are given:

• Length \( l = 35.5 \) feet
• Width \( w = 7.25 \) feet
• Height \( h = 7.5 \) feet

Step3: Substitute the values into the formula

Substitute \( l = 35.5 \), \( w = 7.25 \), and \( h = 7.5 \) into the volume formula:
\[
V = 35.5 \times 7.25 \times 7.5
\]

Step4: Perform the multiplication step by step

First, multiply \( 35.5 \) and \( 7.25 \):
\[
35.5 \times 7.25 = 35.5 \times (7 + 0.25) = 35.5 \times 7 + 35.5 \times 0.25 = 248.5 + 8.875 = 257.375
\]
Then, multiply the result by \( 7.5 \):
\[
257.375 \times 7.5 = 257.375 \times \frac{15}{2} = \frac{257.375 \times 15}{2} = \frac{3860.625}{2} = 1930.3125
\]
Rounding to a reasonable approximation, we get approximately \( 1930 \) cubic feet.

Answer:

C) 1,930 cubic feet