A workbox has the following interior dimensions:
length – 4 in.
width – 2½ in.
height – 3½ in.
What is the interior volume?
35 square inches. To find volume measure length by width by height
Answer:
the interior volume is 35 cubic inches
Step-by-step explanation:
Hello , I can help you with this.
to find the volume of the workbox you must multiply its dimensions,it is
Volume=lengthwidthheight
also, you need convert the mixed number into fraction numbers
remember
\(a\frac{b}{c}=\frac{ac+b}{c}\\\)
Step 1
convert the mixed numbers into fraction numbers
length
4 inches=4 inches
width
\(2\frac{1}{2}\ inches= \frac{2*2+1}{2}\ inches=\frac{5}{2}\ inches \\\)
height
\(3\frac{1}{2}\ inches= \frac{3*2+1}{2}\ inches=\frac{7}{2}\ inches \\\)
Step 2
put the values into the equation
Volume=lengthwidthheight
remember the unit( in)
\(Volume=\frac{4}{1} *\frac{5}{2}*\frac{7}{2}\\Volume= \frac{4*5*7}{1*2*2}\\ Volume=\frac{140}{4} \\Volume=35\\\)
ininin= cubic in
so, the interior volume is 35 cubic inches
have a nice day.