Steply

Calculate 1.5 ft² to in²

Step by step, with the reason for every step · Converting area units · Geometry

Step by step

The question

Question: change 1.5 ft² to square inches.

1 Change the length

This square is 1 foot on each side.

Its area is 1 square foot.

1 foot is 12 inches.

So each side is 12 inches long.

1 ft = 12 in

2 Change the area

So the square holds 12 rows of 12 small squares, each 1 square inch.

So 1 square foot is 12 inches times 12 inches.

1 ft2 = 12 in × 12 in

12 times 12 is 144.

12 × 12 = 144

So 1 ft² = 144 in².

Not 12: the 12 comes in twice.

1 ft2 = 144 in2

3 Multiply

Each square foot is 144 square inches.

We have 1.5 of them, so we multiply: big unit to small unit.

1.5 ft2 = 1.5 × 144 in2

Careful!

Times 12 only changes a length.

A square has two sides to change: times 12, and times 12 again.

Careful: not 1.5 × 12 ✗

1.5 times 144 is 216.

1.5 × 144 = 216

So 1.5 ft² = 216 in².

1.5 ft2 = 216 in2

4 Check

Let's check: go back the other way.

Divide by 144.

216 ÷ 144 = 1.5

We get 1.5 square feet again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: multiply.

Last: check.

Answer
1.5 ft2 = 216 in2

Your turn

Try this one yourself, then check:

Change 2.5 ft² to in².
Show the answer
360 in²

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