Answered


A workbox has the following interior dimensions:
length – 4 in.
width – 2½ in.
height – 3½ in.
What is the interior volume?

Answer :

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=length*width*height

also, you need convert the mixed number into fraction numbers

remember

[tex]a\frac{b}{c}=\frac{ac+b}{c}\\[/tex]

Step 1

convert the mixed numbers into fraction numbers

length

4 inches=4 inches

width

[tex]2\frac{1}{2}\ inches= \frac{2*2+1}{2}\ inches=\frac{5}{2}\ inches \\[/tex]

height

[tex]3\frac{1}{2}\ inches= \frac{3*2+1}{2}\ inches=\frac{7}{2}\ inches \\[/tex]

Step 2

put the values into the equation

Volume=length*width*height

remember the unit( in)

[tex]Volume=\frac{4}{1} *\frac{5}{2}*\frac{7}{2}\\Volume= \frac{4*5*7}{1*2*2}\\ Volume=\frac{140}{4} \\Volume=35\\[/tex]

in*in*in= cubic in

so, the interior volume is 35 cubic inches

have a nice day.

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